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Mathematical models of large-amplitude and nonlinear ocean waves

Research Project

Project/Area Number 17H02856
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionIbaraki University

Principal Investigator

村重 淳  茨城大学, 理工学研究科(理学野), 教授 (40302749)

Co-Investigator(Kenkyū-buntansha) 片岡 武  神戸大学, 工学研究科, 准教授 (20273758)
井口 達雄  慶應義塾大学, 理工学部(矢上), 教授 (20294879)
柿沼 太郎  鹿児島大学, 理工学域工学系, 准教授 (70371755)
丸野 健一  早稲田大学, 理工学術院, 教授 (80380674)
Project Period (FY) 2017-04-01 – 2022-03-31
Project Status Granted (Fiscal Year 2020)
Budget Amount *help
¥15,080,000 (Direct Cost: ¥11,600,000、Indirect Cost: ¥3,480,000)
Fiscal Year 2020: ¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Keywords数値解析・数理モデル / 非線形波動 / 応用数学 / 流体力学 / 数理モデル / 数値解析 / 数値計算
Outline of Annual Research Achievements

本研究の目的は,海洋における大振幅波動の本質(非線形性と分散性)をとらえた数理モデルを導出し,その数理解析を行うことである.令和元年度(3年目)は以下の三つのテーマについて研究を実施した.研究成果は,発表論文16件(査読有10件,国際共著8件),学会発表28件(招待講演10件,国際講演10件)で公表されている.研究内容の概要は以下の通りである.
1. 数学モデル:(1) 水面上に浮体がある場合の浅水波モデルに対する適切性を導いた(井口).(2) 磯部-柿沼モデルの孤立波解の存在を数学的に証明し,数値計算により大振幅孤立波解の存在を調べた.また,モデルのHamilton構造を詳しく調べた(井口).(3) Newell型長波・短波共鳴相互作用方程式のローグ波(巨大波)現象を記述する厳密解,特に高次のローグ波解を発見した(丸野).(4) defocusing型mKdV方程式の厳密解を構成し,曲線の運動を与える明示公式を求めた(丸野).(5) Liouville方程式に対して,連続的な渦度分布と渦糸系が共存するような定常流の厳密解を構成した(太田).(5) KP-II方程式の弾性的な相互作用をする2重線ソリトンの線形安定性を詳しく調べた(水町).
2. 内部波:海中の密度成層を模擬した一様成層流体中を伝播する内部波の底面反射,特に底面が傾斜している場合の粘性の影響について,理論的・数値的研究を行った(片岡).
3. 大振幅・非線形波動の数値計算:(1) 河川津波に対する地形の影響を3次元的数値計算で調べた(柿沼).(2) 大振幅定常進行波の2次元・3次元的線形安定性を,複素解析の手法を用いて数値的に調べた(村重).(3) 砕破のシミュレーションを single-phase と multi-phaseの2つのアプローチで行い,その有効性を確認した(日野).

Current Status of Research Progress
Current Status of Research Progress

2: Research has progressed on the whole more than it was originally planned.

Reason

現在(3年目)までの研究成果は,発表論文49件(査読有29件,国際共著18件),学会発表92件(招待講演27件,国際講演45件)で公表されている.論文の一部が Journal of Fluid Mechanics, Physical Review Fluids, Studies in Applied Mathematics などのトップジャーナルに掲載されていることは特筆に値する.
具体的な研究内容の概要は以下に示すように,予定通り進んでいる.
1. 数学モデル:(1) 水波の問題を双曲型偏微分方程式系に対する自由境界問題として数学的に厳密に調べ,数学モデルの正当性を示した.特に,磯部-柿沼モデルの特徴(正当性,孤立波解,Hamilton構造など)を明らかにした.(2) 時間的・空間的に局在する大振幅波動(ローグ波)を厳密解として有する数学モデルを可積分系理論の観点から詳しく調べ,その特徴を明らかにした.(3) 浅水波モデルのソリトン解の3次元的安定性を厳密に調べた.
2. 内部波:(1) 海中の密度成層を模擬した一様成層流体中を伝播する内部波の伝播や反射について理論的・数値的研究を行い,実験との比較を行った.(2) 磯部-柿沼モデルを用いて内部孤立波に対する地形の影響を数値的に調べた.
3. 大振幅・非線形波動の数値計算:(1) 河川津波に対する地形の影響を数値的に調べた.(2) 複素解析の手法を用いて,進行水面波の非定常運動の計算方法と,定常進行波の数値的線形安定性解析法を新たに提案し,大振幅・非線形波動の特徴を明らかにした.(3) Navier-Stokes 方程式の直接数値計算による砕破のシミュレーションの既存の手法を改良し,その有効性を明らかにした.
以上より,「おおむね順調に進展している」と判断した.

Strategy for Future Research Activity

本研究の最終的な目標は,「海洋における振幅の大きな表面波と内部波の解析に適した新しい理論的・数値的近似法の提案」である.これまでの3年間の研究により,海洋波の数理モデルに対する数学的に厳密な解析と,大振幅・非線形運動の特徴をとらえるための数値計算法の開発については予定通りの成果が得られた.今後は,実施計画にしたがいさらに研究を進め,新たに提案された手法を用いて海洋波の未解決問題に挑戦する予定である.具体的な研究内容を以下にまとめる.
1. 水面波:(1) 磯部-柿沼モデルが従来の数理モデルと比べて優れている点が本研究により数学的に厳密に示されたので,今後はその有効性を数値計算や実験との比較により明らかにする.(2) 浅水波モデルの解の安定性解析をさらに進める.(3) 時間的・空間的に局在する大振幅波動(ローグ波)の特徴を,可積分系理論の観点からさらに詳しく調べる.(4) 水面波を水と空気の2層の界面波として定式化することの長所を,数値計算で詳しく調べる.
2. 内部波:(1) 海中の密度成層を模擬した一様成層流体中を伝播する内部波の数理モデルの適用範囲を調べ,大振幅波動の解析を進める.(2) 2層流体の界面で発生する大振幅内部波の安定性を,複素解析の手法を用いて数値的に調べる.
3. 数値計算法:(1) 2層流体の界面で発生する大振幅内部波の非定常運動に対する数値計算方法を開発する.(2) 可積分系理論に基づいた自己適合移動格子法による自由表面問題の計算方法を,大振幅波動に適用できるように改良する.(3) Navier-Stokes 方程式の直接計算による砕破のシミュレーション,特に3次元的運動を安定に計算できる方法を開発する.
また,新型コロナウイルス感染拡大のため予定通りの開催が危ぶまれているが,海外の専門家を招いて国際研究集会を主催する.

Report

(3 results)
  • 2019 Annual Research Report
  • 2018 Annual Research Report
  • 2017 Annual Research Report

Research Products

(152 results)

All 2020 2019 2018 2017 Other

All Int'l Joint Research Journal Article Presentation Remarks Funded Workshop

  • [Int'l Joint Research] New Jersey Institute of Technology/Massachusetts Institute of Technology/Univ. of Texas-Rio Grande Valley(米国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Universite de Bordeaux(フランス)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] New Jersey Institute of Technology/Massachusetts Institute of Technology/Univ. of Texas-Rio Grande Valley(米国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] The Universite de Bordeaux(フランス)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Massachusetts Institute of Technology/New Jersey Institute of Technology(アメリカ)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] The Universite de Bordeaux(フランス)

    • Related Report
      2017 Annual Research Report
  • [Journal Article] Internal Gravity Wave Beams in the Atmosphere and Ocean2020

    • Author(s)
      片岡 武
    • Journal Title

      BJSIAM

      Volume: 28 Issue: 1 Pages: 11-17

    • DOI

      10.11540/bjsiam.28.1_11

    • NAID

      130007386582

    • ISSN
      2432-1982
    • Year and Date
      2020-06-19
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stability analysis of deep-water waves on a linear shear current using unsteady conformal mapping2020

    • Author(s)
      Murashige, S. and Choi, W.
    • Journal Title

      Journal of Fluid Mechanics

      Volume: 885

    • DOI

      10.1017/jfm.2019.1021

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A Hamiltonian structure of the Isobe-Kakinuma model for water waves2020

    • Author(s)
      Vincent Duchene and Tatsuo Iguchi
    • Journal Title

      Water Waves

      Volume: -

    • DOI

      10.1007/s42286-020-00025-x

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Solitary wave solutions to the Isobe-Kakinuma model for water waves2020

    • Author(s)
      Colin, M. and Iguchi, T.
    • Journal Title

      Studies in Applied Mathematics

      Volume: 未定

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Hyperbolic free boundary problems and applications to wave-structure interactions2020

    • Author(s)
      Iguchi, T. and Lannes, D.
    • Journal Title

      Indiana University Mathematics Journal

      Volume: 未定

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Viscous reflection of internal waves from a slope2020

    • Author(s)
      Kataoka T. and Akylas T. R.
    • Journal Title

      Physical Review Fluids

      Volume: 5 Pages: 014803-014803

    • DOI

      10.1103/physrevfluids.5.014803

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 海底噴火に伴う津波の数値解析2020

    • Author(s)
      柿沼太郎
    • Journal Title

      国際火山噴火史情報研究集会講演要旨集

      Volume: 2019-2 Pages: 56-60

    • Related Report
      2019 Annual Research Report
    • Open Access
  • [Journal Article] An improvement of interface computation of incompressible two-phase flows based on coupling volume of fluid with level-set methods2020

    • Author(s)
      Nguyen Duy Trong、Hino Takanori
    • Journal Title

      International Journal of Computational Fluid Dynamics

      Volume: 34 Pages: 75-89

    • DOI

      10.1080/10618562.2020.1720000

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] The Stability of Internal Gravity Waves of Finite Width2019

    • Author(s)
      T.Hanada, T.Kataoka
    • Journal Title

      TAMJ

      Volume: 64 Issue: 0 Pages: 9-14

    • DOI

      10.11345/nctam.64.9

    • NAID

      130007583662

    • ISSN
      1348-0693, 1349-4244
    • Year and Date
      2019-01-31
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Discrete Local Induction Equation2019

    • Author(s)
      Sampei Hirose, Jun-ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura and Yasuhiro Ohta
    • Journal Title

      Journal of Integrable Systems

      Volume: 印刷中 Pages: 1-43

    • DOI

      10.1093/integr/xyz003

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] The Phase Shift of Line Solitons for the KP-II Equation2019

    • Author(s)
      Mizumachi Tetsu
    • Journal Title

      Nonlinear dispersive partial differential equations and inverse scattering

      Volume: 83 Pages: 433-495

    • DOI

      10.1007/978-1-4939-9806-7_10

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 浅瀬を有する島嶼に入射する津波の数値解析2019

    • Author(s)
      柿沼太郎, 久保達郎
    • Journal Title

      津波工学研究報告

      Volume: 36 Pages: 145-148

    • NAID

      40021981838

    • Related Report
      2019 Annual Research Report
    • Open Access
  • [Journal Article] A 3D numerical analysis for tsunamis ascending a river2019

    • Author(s)
      Kakinuma, T. and Kusuhara, Y.
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2128 Pages: 173-181

    • Related Report
      2019 Annual Research Report
    • Open Access
  • [Journal Article] 内部重力波の斜め反射により生じる平均流について2019

    • Author(s)
      片岡武,Akylas, T.R.
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2128 Pages: 90-102

    • Related Report
      2019 Annual Research Report
  • [Journal Article] 線形シアー流上を進行する周期的深水波の2次元的運動2019

    • Author(s)
      村重淳
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2128 Pages: 103-112

    • Related Report
      2019 Annual Research Report
  • [Journal Article] KP方程式と結合型KP方程式のソリトン相互作用の解析2019

    • Author(s)
      田中悠太,城戸真弥,渡邉靖之,丸野健一,筧三郎
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2128 Pages: 141-155

    • Related Report
      2019 Annual Research Report
  • [Journal Article] Isoperimetric deformations of curves on the Minkowski plane2019

    • Author(s)
      Hyeongki Park, Jun-ichi Inoguchi, Kenji Kajiwara, Ken-ichi Maruno, Nozomu Matsuura and Yasuhiro Ohta
    • Journal Title

      International Journal of Geometric Methods in Modern Physics

      Volume: 印刷中 Pages: 1950100-1950100

    • DOI

      10.1142/s0219887819501007

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] High-order rogue waves of a long-wave-short-wave model of Newell type2019

    • Author(s)
      Chen Junchao、Chen Liangyuan、Feng Bao-Feng、Maruno Ken-ichi
    • Journal Title

      Physical Review E

      Volume: 100 Pages: 052216-052216

    • DOI

      10.1103/physreve.100.052216

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On mean flow generation due to oblique reflection of internal waves at a slope2019

    • Author(s)
      T.Kataoka, T.R.Akylas
    • Journal Title

      Studies in Applied Mathematics

      Volume: 142 Pages: 419-432

    • DOI

      10.1111/sapm.12257

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Large-amplitude solitary waves on a linear shear current2019

    • Author(s)
      Sunao Murashige
    • Journal Title

      京都大学数理解析研究所 講究録 Workshop on Nonlinear Water Waves

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
  • [Journal Article] 線形シアー流上を進行する周期的深水波の2次元的運動2019

    • Author(s)
      村重 淳
    • Journal Title

      京都大学数理解析研究所 講究録 非線形波動現象の数理と応用

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Kakinuma model for internal gravity waves in the rigid-lid case2019

    • Author(s)
      Tatsuo Iguchi
    • Journal Title

      京都大学数理解析研究所 講究録 Workshop on Nonlinear Water Waves

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Transverse Instability of Surface Solitary Waves and Breaking2019

    • Author(s)
      Takeshi Kataoka
    • Journal Title

      京都大学数理解析研究所 講究録 Workshop on Nonlinear Water Waves

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
  • [Journal Article] 内部重力波の斜め反射により生じる平均流について2019

    • Author(s)
      片岡武, Triantaphyllos R. Akylas
    • Journal Title

      京都大学数理解析研究所 講究録 非線形波動現象の数理と応用

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
  • [Journal Article] The interactions of dark line solitons in the Davey-Stewartson II system2019

    • Author(s)
      Ken-ichi Maruno
    • Journal Title

      京都大学数理解析研究所 講究録 Workshop on Nonlinear Water Waves

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
  • [Journal Article] KP方程式と結合型KP方程式のソリトン相互作用の解析2019

    • Author(s)
      田中悠太,城戸真弥,渡邉靖之,丸野健一,筧三郎
    • Journal Title

      京都大学数理解析研究所 講究録 非線形波動現象の数理と応用

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
  • [Journal Article] A numerical calculation for internal waves over a slope or a mound2019

    • Author(s)
      Taro Kakinuma
    • Journal Title

      京都大学数理解析研究所 講究録 Workshop on Nonlinear Water Waves

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
  • [Journal Article] 河川津波の基礎的特性に関する数値解析2019

    • Author(s)
      柿沼 太郎,楠原 嘉
    • Journal Title

      京都大学数理解析研究所 講究録 非線形波動現象の数理と応用

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Time-localized solutions for some soliton equations2019

    • Author(s)
      Yasuhiro Ohta
    • Journal Title

      京都大学数理解析研究所 講究録 Workshop on Nonlinear Water Waves

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
  • [Journal Article] On the phase shift of line solitary waves for the KP-II equation2019

    • Author(s)
      Tetsu Mizumachi
    • Journal Title

      京都大学数理解析研究所 講究録 Workshop on Nonlinear Water Waves

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
  • [Journal Article] A mathematical justification of the Isobe-Kakinuma model for water waves with and without bottom topography2018

    • Author(s)
      Iguchi Tatsuo
    • Journal Title

      J. Math. Fluid Mech.

      Volume: 20 Pages: 1985-2018

    • DOI

      10.1007/s00021-018-0398-x

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Integrable Discrete Model for One‐Dimensional Soil Water Infiltration2018

    • Author(s)
      Triadis Dimetre、Broadbridge Philip、Kajiwara Kenji、Maruno Ken-ichi
    • Journal Title

      Studies in Applied Mathematics

      Volume: 140 Pages: 483-507

    • DOI

      10.1111/sapm.12208

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] The derivative Yajima-Oikawa system: bright, dark soliton and breather solutions2018

    • Author(s)
      Junchao Chen, Bao‐Feng Feng, Ken‐ichi Maruno, Yasuhiro Ohta
    • Journal Title

      Stud. Appl. Math.

      Volume: 141 Pages: 145-185

    • DOI

      10.1111/sapm.12216

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] NUMERICAL SIMULATION FOR INTERNAL WAVES PROPAGATING OVER TOPOGRAPHY2018

    • Author(s)
      越智直人,柿沼太郎,中山恵介
    • Journal Title

      Journal of Japan Society of Civil Engineers, Ser. B2 (Coastal Engineering)

      Volume: 74 Issue: 2 Pages: I_25-I_30

    • DOI

      10.2208/kaigan.74.i_25

      10.2208/kaigan.74.I_25

    • NAID

      130007504070

    • ISSN
      1883-8944, 1884-2399
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A numerical calculation for internal waves over topography2018

    • Author(s)
      Taro Kakinuma, Naoto Ochi, Kei Yamashita, Keisuke Nakayama
    • Journal Title

      Coastal Engineering Proceedings

      Volume: 36 Pages: 1-7

    • DOI

      10.9753/icce.v36.papers.64

    • Related Report
      2018 Annual Research Report
    • Open Access
  • [Journal Article] RANS investigation of influence of wave steepness on ship motions and added resistance in regular waves2018

    • Author(s)
      Si Chen, Takanori Hino, Ning Ma, Xiechong Gu
    • Journal Title

      Journal of Marine Science and Technology

      Volume: 23 Pages: 991-1003

    • DOI

      10.1007/s00773-018-0527-5

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Numerical simulation of the free-running of a ship using the propeller model and dynamic overset grid method2018

    • Author(s)
      Kunihide Ohashi, Hiroshi Kobayashi, Takanori Hino
    • Journal Title

      Ship Technology Research

      Volume: 65 Pages: 153-162

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Davey-Stewartson II 方程式のdark型線ソリトン相互作用と三角形分割2018

    • Author(s)
      巣山大地, 永原新, 丸野健一
    • Journal Title

      九州大学応用力学研究所研究集会報告

      Volume: 29AO-S7 (1) Pages: 138-144

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Long wave approximation using conformal mapping for large-amplitude internal waves in a two-fluid system2018

    • Author(s)
      Murashige, S.
    • Journal Title

      Applied Numerical Mathematics

      Volume: 印刷中

    • DOI

      10.1016/j.apnum.2018.04.002

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the interaction of an internal wavepacket with its induced mean flow and the role of streaming2018

    • Author(s)
      Fan Boyu、Kataoka T.、Akylas T. R.
    • Journal Title

      Journal of Fluid Mechanics

      Volume: 838

    • DOI

      10.1017/jfm.2018.1

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A mathematical justification of the Isobe-Kakinuma model for water waves with and without bottom topography2018

    • Author(s)
      Iguchi, T.
    • Journal Title

      arXiv:1803.09236

      Volume: -

    • Related Report
      2017 Annual Research Report
  • [Journal Article] Stability of line solitons for the KP-II equation in R2. II2018

    • Author(s)
      Tetsu Mizumachi
    • Journal Title

      Proceedings of the Royal Society of Edinburgh: Section A Mathematics

      Volume: 148 Pages: 149-198

    • DOI

      10.1017/s0308210517000166

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tilting at wave beams: a new perspective on the St. Andrew’s Cross2017

    • Author(s)
      Kataoka T.、Ghaemsaidi S. J.、Holzenberger N.、Peacock T.、Akylas T. R.
    • Journal Title

      Journal of Fluid Mechanics

      Volume: 830 Pages: 660-680

    • DOI

      10.1017/jfm.2017.615

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Asymptotic linear stability of Benney-Luke line solitary waves in 2D2017

    • Author(s)
      Tetsu Mizumachi and Yusuke Shimabukuro
    • Journal Title

      Nonlinearity

      Volume: 30 Pages: 3419-3465

    • DOI

      10.1088/1361-6544/aa7cc7

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Geometric formulation and multi-dark soliton solution to the defocusing complex short pulse equation2017

    • Author(s)
      Bao-Feng Feng, Ken-ichi Maruno, Yasuhiro Ohta
    • Journal Title

      Stud. Appl. Math.

      Volume: 136 Pages: 343-367

    • DOI

      10.1111/sapm.12159

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] The Degasperis-Procesi equation, its short wave modl and the CKP hierarchy2017

    • Author(s)
      B.-F. Feng, K. Maruno and Y. Ohta
    • Journal Title

      Annals of Mathematical Sciences and Applications

      Volume: 2 Pages: 285-316

    • DOI

      10.4310/amsa.2017.v2.n2.a4

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] N-Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrodinger Equation2017

    • Author(s)
      B.-F. Feng and Y. Ohta
    • Journal Title

      Symmetry, Integrability and Geometry: Methods and Applications

      Volume: 13 Pages: 071-071

    • DOI

      10.3842/sigma.2017.071

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] An integrable semi-discrete Degasperis-Procesi equation2017

    • Author(s)
      B.-F. Feng, K. Maruno and Y. Ohta
    • Journal Title

      Nonlinearity

      Volume: 30 Pages: 2246-2267

    • DOI

      10.1088/1361-6544/aa67fc

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Modified Short Pulse 方程式の自己適合移動格子スキーム2017

    • Author(s)
      徐 俊庭,丸野 健一,Bao-Feng Feng,太田 泰広
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2034 Pages: 150-153

    • Related Report
      2017 Annual Research Report
  • [Presentation] 等角写像を用いた大振幅・定常進行水面波の線形安定性解析2019

    • Author(s)
      村重 淳
    • Organizer
      日本流体力学会 年会2019
    • Related Report
      2019 Annual Research Report
  • [Presentation] 等角写像を用いた表面張力波の線形安定性解析2019

    • Author(s)
      村重 淳
    • Organizer
      京都大学数理解析研究所 RIMS研究集会「非線形波動の数理とその応用」
    • Related Report
      2019 Annual Research Report
  • [Presentation] 磯部‐柿沼モデルの孤立波解とその極限波2019

    • Author(s)
      井口 達雄
    • Organizer
      海洋・海岸における波動の解析モデルの発展
    • Related Report
      2019 Annual Research Report
  • [Presentation] Initial value problem to a shallow water model with a floating solid body2019

    • Author(s)
      井口 達雄
    • Organizer
      神戸大学解析セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Initial value problem to a shallow water model with a floating solid body2019

    • Author(s)
      井口 達雄
    • Organizer
      九州関数方程式セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Initial value problem to a shallow water model with a floating solid body2019

    • Author(s)
      井口 達雄
    • Organizer
      京都大学数理解析研究所 RIMS共同研究「非線形波動現象の数理とその応用」
    • Related Report
      2019 Annual Research Report
  • [Presentation] Initial value problem to a shallow water model with a floating solid body2019

    • Author(s)
      井口 達雄
    • Organizer
      偏微分方程式待兼山セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] A mathematical analysis of the Isobe-Kakinuma model for water waves2019

    • Author(s)
      井口 達雄
    • Organizer
      The 44th Sapporo Symposium on Partial Differential Equations
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A mathematical analysis of the Isobe-Kakinuma model for water waves2019

    • Author(s)
      井口 達雄
    • Organizer
      Oberwolfach Workshop: Mathematical Theory of Water Waves
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Initial value problem to a shallow water model with a floating solid body2019

    • Author(s)
      井口 達雄
    • Organizer
      非線形解析セミナー@大岡山
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 内部重力波の傾斜板からの粘性反射2019

    • Author(s)
      片岡武,Akylas, T.R.
    • Organizer
      日本流体力学会 年会2019
    • Related Report
      2019 Annual Research Report
  • [Presentation] 内部重力波の傾斜板からの粘性反射2019

    • Author(s)
      片岡武,Akylas, T.R.
    • Organizer
      京都大学数理解析研究所 RIMS研究集会「非線形波動の数理とその応用」
    • Related Report
      2019 Annual Research Report
  • [Presentation] Two dimensional stationary vorticity distribution and integrable system2019

    • Author(s)
      Ohta, Y.
    • Organizer
      The Eleventh IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Stability of line solitary waves for some long wave models2019

    • Author(s)
      T. Mizumachi
    • Organizer
      2019 Workshop on Nonlinear Dispersive Partial Differential Equations and Inverse Scattering
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 河川を遡上する津波の3次元数値解析2019

    • Author(s)
      楠原嘉,柿沼太郎
    • Organizer
      第29回九州・山口海岸工学者の集い
    • Related Report
      2019 Annual Research Report
  • [Presentation] 多変量解析に基づく離島の考察2019

    • Author(s)
      柿沼太郎
    • Organizer
      第29回九州・山口海岸工学者の集い
    • Related Report
      2019 Annual Research Report
  • [Presentation] 地すべり津波の水理実験と数値解析2019

    • Author(s)
      柿沼太郎
    • Organizer
      京都大学数理解析研究所 RIMS研究集会「非線形波動の数理とその応用」
    • Related Report
      2019 Annual Research Report
  • [Presentation] 地すべりや山体崩壊に起因する津波の数値解析2019

    • Author(s)
      柿沼太郎
    • Organizer
      九州大学応用力学研究所共同利用研究集会「海洋・海岸等における波動の解析モデルの発展」
    • Related Report
      2019 Annual Research Report
  • [Presentation] 浅瀬を有する島嶼に入射する津波の数値解析2019

    • Author(s)
      柿沼太郎
    • Organizer
      第9回巨大津波災害に関する合同研究集会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Single-phase とTwo-phase によるストークス波の砕波シミュレーション2019

    • Author(s)
      池之上晴視, 日野孝則, 高木洋平
    • Organizer
      日本船舶海洋工学会講演会
    • Related Report
      2019 Annual Research Report
  • [Presentation] CFD Simulations of Breaking Waves2019

    • Author(s)
      Hino, T, Ikenoue, H. and Takagi, Y.
    • Organizer
      Proc. ASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Integrable discretizations of the complex WKI equation and numerical computation of a vortex filament2019

    • Author(s)
      Ken-ichi Maruno
    • Organizer
      ICIAM2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Numerical and analytical studies of the KP I equation2019

    • Author(s)
      Ken-ichi Maruno
    • Organizer
      Mini Symposium on Integrable Systems Academia Sinica
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Integrable discretization of soliton equations and numerical computations2019

    • Author(s)
      Ken-ichi Maruno
    • Organizer
      2019 28th Annual Workshop on Differential Equations
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Integrable discretizations of integrable systems and motion of discrete curves2019

    • Author(s)
      Ken-ichi Maruno
    • Organizer
      The 2nd JNMP Conference on Nonlinear Mathematical Physics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Integrable discretizations of the complex WKI equation and numerical computation of a vortex filament2019

    • Author(s)
      Ken-ichi Maruno
    • Organizer
      ISLAND V: Integrable systems, special functions and combinatorics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 自己適合移動格子スキームの境界条件2019

    • Author(s)
      丸野健一
    • Organizer
      九州大学応用力学研究所 研究集会「非線形波動研究の多様性」
    • Related Report
      2019 Annual Research Report
  • [Presentation] BKP方程式のソリトン解の分類2019

    • Author(s)
      田中悠太,丸野健一,児玉裕治
    • Organizer
      九州大学応用力学研究所 研究集会「非線形波動研究の多様性」
    • Related Report
      2019 Annual Research Report
  • [Presentation] Stability of deep-water waves with constant vorticity2019

    • Author(s)
      Sunao Murashige
    • Organizer
      Nonlinear waves, Theory, Computations and Real-World Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 線形シアー流上を進行する深水波の2次元的安定性2019

    • Author(s)
      村重 淳
    • Organizer
      研究集会 非線形海洋波の数理の最近の進展
    • Related Report
      2018 Annual Research Report
  • [Presentation] 磯部-柿沼モデルの数学解析2019

    • Author(s)
      井口 達雄
    • Organizer
      研究集会 非線形海洋波の数理の最近の進展
    • Related Report
      2018 Annual Research Report
  • [Presentation] 内部重力波により誘起される強い平均流に関する数値解析的研究2019

    • Author(s)
      淀 紳悟,片岡 武
    • Organizer
      日本機械学会関西支部 第94期定時総会・講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] An integrable discretization of the complex WKI equation2019

    • Author(s)
      Ken-ichi Maruno, Shinya Kido, Satomi Nakamura
    • Organizer
      AMS Spring Central and Western Joint Sectional Meeting, University of Hawaii at Manoa
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 自己適合移動格子スキームと離散曲線2019

    • Author(s)
      丸野健一
    • Organizer
      研究集会 非線形海洋波の数理の最近の進展
    • Related Report
      2018 Annual Research Report
  • [Presentation] 大陸棚上を伝播する内部波の非線形数値解析2019

    • Author(s)
      柿沼 太郎
    • Organizer
      研究集会 非線形海洋波の数理の最近の進展
    • Related Report
      2018 Annual Research Report
  • [Presentation] Lump solitons generated by instability of line soliton for KPI equation2019

    • Author(s)
      Yasuhiro Ohta
    • Organizer
      AMS Sectional Meeting AMS Special Session, Spring Central and Western Joint Sectional Meeting
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 二次元定常流に対するオイラー方程式の離散化について2019

    • Author(s)
      太田 泰広
    • Organizer
      研究集会 非線形海洋波の数理の最近の進展
    • Related Report
      2018 Annual Research Report
  • [Presentation] Numerical simulation of breaking Stokes waves2019

    • Author(s)
      日野 孝則
    • Organizer
      研究集会 非線形海洋波の数理の最近の進展
    • Related Report
      2018 Annual Research Report
  • [Presentation] On stability of line solitary waves for long wave models2019

    • Author(s)
      Tetsu Mizumachi
    • Organizer
      第36回九州における偏微分方程式研究集会
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 2次元 Benney Luke 方程式の線状孤立波解の安定性2019

    • Author(s)
      水町 徹
    • Organizer
      研究集会 非線形海洋波の数理の最近の進展
    • Related Report
      2018 Annual Research Report
  • [Presentation] Large-amplitude solitary waves on a linear shear current2018

    • Author(s)
      Sunao Murashige
    • Organizer
      Workshop on Nonlinear Water Waves
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Two-dimensional stability of solitary waves on a linear shear current2018

    • Author(s)
      Sunao Murashige
    • Organizer
      SIAM Conference on Nonlinear Waves and Coherent Structures
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 線形シアー流上を進行する水波の2次元的定常運動2018

    • Author(s)
      村重 淳
    • Organizer
      日本流体力学会 年会2018
    • Related Report
      2018 Annual Research Report
  • [Presentation] 水波問題と複素解析2018

    • Author(s)
      村重 淳
    • Organizer
      AIMap異分野連携ワークショップ 海岸・海洋における非線形問題に対する数学的手法の展開
    • Related Report
      2018 Annual Research Report
  • [Presentation] 線形シアー流上を進行する周期的深水波の2次元的運動2018

    • Author(s)
      村重 淳
    • Organizer
      京都大学数理解析研究所研究集会 非線形波動現象の数理と応用
    • Related Report
      2018 Annual Research Report
  • [Presentation] Kakinuma model for internal gravity waves in the rigid-lid case2018

    • Author(s)
      Tatsuo Iguchi
    • Organizer
      Workshop on Nonlinear Water Waves
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Isobe-Kakinuma model for water waves as a higher order shallow water approximation2018

    • Author(s)
      Tatsuo Iguchi
    • Organizer
      International Conference CoMFoS18
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Isobe-Kakinuma model for water waves as a higher order shallow water approximation2018

    • Author(s)
      Tatsuo Iguchi
    • Organizer
      Dynamics of partial differential equations, KAIST, Korea
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 水の波の変分原理と磯部-柿沼モデル2018

    • Author(s)
      井口 達雄
    • Organizer
      AIMap異分野連携ワークショップ 海岸・海洋における非線形問題に対する数学的手法の展開
    • Related Report
      2018 Annual Research Report
  • [Presentation] A mathematical analysis for water waves2018

    • Author(s)
      Tatsuo Iguchi
    • Organizer
      HKUST-Keio University Joint Workshop on Mathematics and Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 磯部-柿沼モデルの数学解析2018

    • Author(s)
      井口 達雄
    • Organizer
      海洋・海岸における波動の解析モデルの比較
    • Related Report
      2018 Annual Research Report
  • [Presentation] Initial value problem to a shallow water model with a floating solid body2018

    • Author(s)
      Tatsuo Iguchi
    • Organizer
      Waseda Workshop on Partial Differential Equations
    • Related Report
      2018 Annual Research Report
  • [Presentation] Transverse Instability of Surface Solitary Waves and Breaking2018

    • Author(s)
      Takeshi Kataoka
    • Organizer
      Workshop on Nonlinear Water Waves
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 内部重力波の非線形変調2018

    • Author(s)
      片岡 武,Boys Fan, Triantaphyllos R. Akylas
    • Organizer
      日本流体力学会 年会2018
    • Related Report
      2018 Annual Research Report
  • [Presentation] 内部重力波の斜め反射により生じる平均流について2018

    • Author(s)
      片岡武,T.R.Akylas
    • Organizer
      京都大学数理解析研究所研究集会 非線形波動現象の数理と応用
    • Related Report
      2018 Annual Research Report
  • [Presentation] 水面波の横方向不安定性と砕波2018

    • Author(s)
      片岡 武
    • Organizer
      第32回数値流体力学シンポジウム
    • Related Report
      2018 Annual Research Report
  • [Presentation] The interactions of dark line solitons in the Davey-Stewartson II system2018

    • Author(s)
      Ken-ichi Maruno
    • Organizer
      Workshop on Nonlinear Water Waves
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Soliton interactions of the KP and DKP equations and their network diagrams2018

    • Author(s)
      Ken-ichi Maruno
    • Organizer
      JSPS Almuni Association Seminar, University of Texas Rio Grande Valley
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Discrete structures of integrable systems and its applications2018

    • Author(s)
      Ken-ichi Maruno
    • Organizer
      2018 ICIAM Workshop, Drexel University
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A numerical calculation for internal waves over a slope or a mound2018

    • Author(s)
      Taro Kakinuma
    • Organizer
      Workshop on Nonlinear Water Waves
    • Related Report
      2018 Annual Research Report
  • [Presentation] 河川津波の基礎的特性に関する数値解析2018

    • Author(s)
      柿沼 太郎,楠原 嘉
    • Organizer
      京都大学数理解析研究所研究集会 非線形波動現象の数理と応用
    • Related Report
      2018 Annual Research Report
  • [Presentation] Time-localized solutions for some soliton equations2018

    • Author(s)
      Yasuhiro Ohta
    • Organizer
      Workshop on Nonlinear Water Waves
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Periodic phase solitons for discrete and ultradiscrete equations2018

    • Author(s)
      Yasuhiro Ohta
    • Organizer
      JSPS US AA Seminar Program 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Recent development in continuous and discrete integrable systems2018

    • Author(s)
      Yasuhiro Ohta
    • Organizer
      JSPS US AA Seminar Program 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Development of CFD methods for Industrial Ship Flow Applications2018

    • Author(s)
      Takanori Hino
    • Organizer
      32nd Symposium on Naval Hydrodynamics (Weinblum Lecture)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the phase shift of line solitary waves for the KP-II equation2018

    • Author(s)
      Tetsu Mizumachi
    • Organizer
      Workshop on Nonlinear Water Waves
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Large amplitude motion of periodic internal waves in a two fluid system of finite depth2018

    • Author(s)
      Murashige, S.
    • Organizer
      Workshop on nonlinear water waves and related phenomena, University of Tokyo
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Isobe-Kakinuma model for water waves as a higher order shallow water approximation2018

    • Author(s)
      Iguchi, T.
    • Organizer
      Le Seminaire du CEREMADE Analyse-Probabilites, Universite Paris-Dauphine
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Initial value problem to a shallow water model with a floating solid body2018

    • Author(s)
      Iguchi, T.
    • Organizer
      Groupe de Travail Interaction fluide-solide, Institut de Mathematiques de Bordeaux
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Isobe-Kakinuma model for water waves as a higher order shallow water approximation2018

    • Author(s)
      Iguchi, T.
    • Organizer
      Seminaires de lequipe EDPs2, Laboratoire de Mthematiques, Universite Savoie Mont Blanc
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Isobe-Kakinuma model for water waves as a higher order shallow water approximation2018

    • Author(s)
      Iguchi, T.
    • Organizer
      Seminaire EDP, Institut de Recherche Mathematique de Rennes
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A mathematical analysis for water waves2018

    • Author(s)
      Iguchi, T.
    • Organizer
      Mathematical Colloquium, Fachrichtung Mathematik Universitat des Saarlandes
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Numerical and theoretical studies of nonlinear water waves using the hodograph transformation2017

    • Author(s)
      Murashige, S.
    • Organizer
      Dispersive hydrodynamics and oceanography: from experiments to theory, Les Houches School of Physics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 線形シアー流上を進行する定常水波に対する長波モデル2017

    • Author(s)
      村重 淳
    • Organizer
      RIMS 研究集会 「非線形波動現象の数理とその応用」,京都大学数理解析研究所
    • Related Report
      2017 Annual Research Report
  • [Presentation] Tilting at wave beams: a new perspective on the St. Andrew's Cross2017

    • Author(s)
      Akylas, T.R., Kataoka, T., Peacock, T., Ghaemsaidi, S., Holzenberger, N.
    • Organizer
      European Geosciences Union General Assembly 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 傾斜させた棒による内部重力波の励起2017

    • Author(s)
      片岡 武,Akylas, T.R.,Peacock, T.,Ghaemsaidi, S.,Holzenberger, N.
    • Organizer
      日本流体力学会年会2017
    • Related Report
      2017 Annual Research Report
  • [Presentation] 有限幅の内部重力波の安定性2017

    • Author(s)
      中村 祐輔,片岡 武
    • Organizer
      第64回理論応用力学講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 傾斜した棒から励起される内部重力波2017

    • Author(s)
      片岡 武,Ghaemsaidi,S.J., Holzenberger, N., Peacock, T., Akylas, T.R.
    • Organizer
      RIMS研究集会「非線形波動現象の数理とその応用」, 京都大学数理解析研究所
    • Related Report
      2017 Annual Research Report
  • [Presentation] 傾斜円柱の振動により励起される内部重力波2017

    • Author(s)
      片岡 武,Ghaemsaidi,S.J., Holzenberger, N., Peacock, T., Akylas, T.R.
    • Organizer
      第31回数値流体力学シンポジウム
    • Related Report
      2017 Annual Research Report
  • [Presentation] Isobe-Kakinuma model for water waves as a higher order shallow water approximation2017

    • Author(s)
      Iguchi, T.
    • Organizer
      Recent progress on surface and internal waves models, Wolfgang Pauli Institute, Vienna
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Isobe-Kakinuma model for water waves as a higher order shallow water approximation2017

    • Author(s)
      Iguchi, T.
    • Organizer
      Nonlinear water waves, Isaac Newton Institute
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Initial value problem to a shallow water model with a floating solid body2017

    • Author(s)
      Iguchi, T.
    • Organizer
      DNA Seminar, Norwegian University of Science and Technology
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Isobe-Kakinuma model for water waves as a higher order shallow water approximation2017

    • Author(s)
      Iguchi, T.
    • Organizer
      PDE and mechanics joint seminar, University of Oslo
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Isobe-Kakinuma model for water waves as a higher order shallow water approximation2017

    • Author(s)
      Iguchi, T.
    • Organizer
      Seminaire de Physique Mathematique - EDP, Institut de Mathematiques de Bordeaux
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Asymptotic Linear Stability of Benney-Luke line solitary waves2017

    • Author(s)
      Mizumachi, T.
    • Organizer
      Workshop on Inverse Scattering and Dispersive PDEs in Two Space Dimensions, The Fields Institute
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Asymptotic Linear Stability of Benney-Luke line solitary waves in 2D2017

    • Author(s)
      Mizumachi, T.
    • Organizer
      Tosio Kato Centennial Conference, University of Tokyo
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Jeu de taquin と超離散戸田方程式2017

    • Author(s)
      筧 三郎, 上岡 修平, 太田 泰広
    • Organizer
      日本応用数理学会 2017年度年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Semi-discrete analogues of the complex short pulse and coupled complex short pulse equations based on the KP hierarchy reduction2017

    • Author(s)
      Feng, B. and Ohta, Y.
    • Organizer
      AMS Sectional Meeting (Fall Central Sectional Meeting)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 可積分系と数値計算:厳密解 vs. 数値解2017

    • Author(s)
      丸野 健一
    • Organizer
      RIMS研究集会「可積分系の数理と応用」,京都大学数理解析研究所
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Integrable self-adaptive moving mesh scheme for the modified short pulse equation2017

    • Author(s)
      徐 俊庭, 丸野 健一, Bao-Feng Feng, 太田 泰広
    • Organizer
      Physics and Mathematics of Nonlinear Phenomena PMNP2017: 50 years of IST, Gallipori, Italy
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Development of CFD Methods for Industrial Ship Flow Applications2017

    • Author(s)
      Hino, T.
    • Organizer
      40th Georg Weinblum Memorial Lecture
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 地形上を伝播する内部波の数値解析2017

    • Author(s)
      柿沼 太郎,越智 直人,山下 啓,中山 恵介
    • Organizer
      海洋・海岸における波動の解析モデルの応用,九州大学応用力学研究所共同利用研究集会
    • Related Report
      2017 Annual Research Report
  • [Remarks] Workshop on Nonlinear Water Waves

    • URL

      http://murasige.sci.ibaraki.ac.jp/WS_Nonlinear_Water_Waves_RIMS_2018.html

    • Related Report
      2018 Annual Research Report
  • [Remarks] 研究集会「非線形海洋波の数理の最近の進展」

    • URL

      http://murasige.sci.ibaraki.ac.jp/KAKEN_meeting_at_Nasu_2019_SJIS.html

    • Related Report
      2018 Annual Research Report
  • [Remarks] 非線形波動現象の数理とその応用(京都大学数理解析研究所 RIMS共同研究(公開型))

    • URL

      http://murasige.sci.ibaraki.ac.jp/RIMS_Nonlinear_Waves/rims_2017.html

    • Related Report
      2017 Annual Research Report
  • [Remarks] 研究集会「非線形海洋波の数理の展望」

    • URL

      http://murasige.sci.ibaraki.ac.jp/KAKEN_meeting_at_Kagoshima_2018_SJIS.html

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] Workshop on Nonlinear Water Waves2018

    • Related Report
      2018 Annual Research Report

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Published: 2017-04-28   Modified: 2021-01-27  

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