• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Mathematical and computational analysis of moving boundary problems arising in snow and ice phenomena

Research Project

Project/Area Number 16H03953
Research Category

Grant-in-Aid for Scientific Research (B)

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

Principal Investigator

Yazaki Shigetoshi  明治大学, 理工学部, 専任教授 (00323874)

Co-Investigator(Kenkyū-buntansha) 石渡 哲哉  芝浦工業大学, システム理工学部, 教授 (50334917)
木村 正人  金沢大学, 数物科学系, 教授 (70263358)
長島 和茂  明治大学, 理工学部, 専任教授 (70339571)
Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥10,790,000 (Direct Cost: ¥8,300,000、Indirect Cost: ¥2,490,000)
Fiscal Year 2018: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2017: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2016: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Keywords雪氷現象 / 界面現象 / 移動境界問題 / 雪結晶 / クリスタライン / 幾何学的選別 / 曲率流方程式 / クリスタライン曲率流方程式 / 基本解近似解法 / 比較定理 / 結晶成長 / 空像 / 亀裂 / クリスタライン法 / ヘレ・ショウ流れ / タイプ2爆発 / 塩水中の結晶成長 / 変分構造 / 雪の結晶成長 / 雪の結晶 / 負結晶 / チンダル像 / 境界追跡法 / クリスタライン曲率 / 離散曲率 / 直接法 / 雪氷
Outline of Final Research Achievements

Phenomena of snow and ice indicate whole phenomena concerning the crystallization and the melting of water. Crystallization of water has two main situations: one is crystallization in the air such as snow crystal, and the other is crystallization of water in water. In this application, the applicant investigated and studied construction of mathematical model equations of moving interface and its mathematical and numerical analysis, where the interface is boundary between water and ice, or water and air, or ice and air, in the case where the interface is decided as sharp interface such as curves or surfaces. Also in this application, mathematical and numerical analysis were done for several interfacial phenomena including snow and ice.

Academic Significance and Societal Importance of the Research Achievements

中谷宇吉郎による世界初の人工雪の生成の成功からはじまった雪氷現象の研究は,水と氷の形態変化の難しさもあり,いまだにすべてが解決されたとは言いがたい.雪や氷はレジャーとして楽しめる材料を提供してくれる一方で,生活に支障をきたすやっかいなものでもあり,災害をもたらす災厄でもある.また毎年スタッドレスタイヤ,スキーやスノーボードの板が開発されていることからもわかるように,雪や氷の性質が完全な制御下にあるとは言いがたい.言い換えると,雪氷のもたらす現象はまだまだ未知の部分が多いということである.本申請研究は,基礎研究ではあるが,そのような観点から学術的,また社会的意義のある研究といえる.

Report

(4 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • Research Products

    (78 results)

All 2019 2018 2017 2016

All Journal Article (20 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 18 results,  Open Access: 12 results,  Acknowledgement Compliant: 9 results) Presentation (52 results) (of which Int'l Joint Research: 23 results,  Invited: 17 results) Book (2 results) Funded Workshop (4 results)

  • [Journal Article] Evolution of spiral-shaped polygonal curve by crystalline curvature flow with a pinned tip2019

    • Author(s)
      T. Ishiwata and T. Ohtsuka
    • Journal Title

      Discrete and Continuous Dynamical Systems - B

      Volume: 印刷中 Issue: 10 Pages: 1-35

    • DOI

      10.3934/dcdsb.2019058

    • NAID

      120006459786

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Unidirectional evolution equations of diffusion type2019

    • Author(s)
      G. Akagi and M. Kimura
    • Journal Title

      J. Differential Equations

      Volume: 266

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Comparing motion of curves and hypersurfaces in $\mathbb{R}^m$.2019

    • Author(s)
      J. Minarcik, M. Kimura, and M. Benes
    • Journal Title

      Discrete and Continuous Dynamical Systems - B

      Volume: 印刷中 Issue: 9 Pages: 1-12

    • DOI

      10.3934/dcdsb.2019032

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Numerical approach to three-dimensional model of cellular electrophysiology by the method of fundamental solutions2019

    • Author(s)
      Nakamura, Ken-Ichi; Sakakibara, Koya; Yazaki Shigetoshi
    • Journal Title

      JSIAM Letters

      Volume: 11 Issue: 0 Pages: 17-20

    • DOI

      10.14495/jsiaml.11.17

    • NAID

      130007607539

    • ISSN
      1883-0609, 1883-0617
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] ある振動モデルにおける時間遅延誘導爆発について2018

    • Author(s)
      石渡恵美子, 石渡哲哉, 中田行彦
    • Journal Title

      京都大学数理解析研究所講究録 「実領域における常微分方程式研究の継承と革新」

      Volume: 2080 Pages: 18-24

    • Related Report
      2018 Annual Research Report
    • Open Access
  • [Journal Article] The Gradient Flow Structure of an Extended Maxwell Viscoelastic Model and a Structure-Preserving Finite Element Scheme2018

    • Author(s)
      Kimura Masato、Notsu Hirofumi、Tanaka Yoshimi、Yamamoto Hiroki
    • Journal Title

      Journal of Scientific Computing

      Volume: 78 Issue: 2 Pages: 1111-1131

    • DOI

      10.1007/s10915-018-0799-2

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Experimental and theoretical study on near-floor flame spread along a thin solid2018

    • Author(s)
      M. Goto, K. Kuwana, G. Kushida and S. Yazaki
    • Journal Title

      Proceedings of the Combustion Institute

      Volume: 37 Issue: 3 Pages: 3783-3791

    • DOI

      10.1016/j.proci.2018.06.001

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A simple and fast numerical method for solving flame/smoldering evolution equations2018

    • Author(s)
      M. Goto, K. Kuwana and S. Yazaki
    • Journal Title

      JSIAM Letters

      Volume: 10 Issue: 0 Pages: 49-52

    • DOI

      10.14495/jsiaml.10.49

    • NAID

      130007481352

    • ISSN
      1883-0609, 1883-0617
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A numerical method of estimating blow-up rates for nonlinear evolution equations by using rescaling algorithm2018

    • Author(s)
      K. Anada, T. Ishiwata and T.K. Ushijima
    • Journal Title

      Japan J. Indust. Appl. Math.

      Volume: 35 Issue: 1 Pages: 33-47

    • DOI

      10.1007/s13160-017-0273-9

    • NAID

      210000161289

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Structure-preserving numerical scheme for a generalized area-preserving crystalline curvature flow2017

    • Author(s)
      T. Ishiwata and S. Yazaki
    • Journal Title

      , Computer Methods in Materials Science

      Volume: 17

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Method of fundamental solutions with weighted average condition and dummy points2017

    • Author(s)
      K. Sakakibara and S. Yazaki
    • Journal Title

      JSIAM Letters

      Volume: 9 Issue: 0 Pages: 41-44

    • DOI

      10.14495/jsiaml.9.41

    • NAID

      130006900325

    • ISSN
      1883-0609, 1883-0617
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Instability of a free boundary in a Hele-Shaw cell with sink/source and its parameter dependence2017

    • Author(s)
      H. Tani and S. Yazaki
    • Journal Title

      JSIAM Letters

      Volume: 9 Issue: 0 Pages: 37-40

    • DOI

      10.14495/jsiaml.9.37

    • NAID

      130006900379

    • ISSN
      1883-0609, 1883-0617
    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Method of fundamental solutions with weighted average condition and dummy points2017

    • Author(s)
      K. Sakakibara and S. Yazaki
    • Journal Title

      Applied Mathematics Letters

      Volume: 印刷中 Pages: 16-21

    • DOI

      10.1016/j.aml.2017.04.018

    • NAID

      130006900325

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] 自己駆動粒子モデルにおける「群れ」の特徴付け2017

    • Author(s)
      谷村優太,友枝明保,木下修一,矢崎成俊
    • Journal Title

      武蔵野大学数理工学センター紀要

      Volume: 2 Pages: 20-38

    • NAID

      120006307310

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Method of fundamental solutions with weighted average condition and dummy points2017

    • Author(s)
      K. Sakakibara and S. Yazaki
    • Journal Title

      JSIAM Letters

      Volume: 9 Pages: 41-44

    • NAID

      130006900325

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Shape optimization approach by traction method to inverse free boundary problems2017

    • Author(s)
      S. Shioda, A. U. Maharani, M. Kimura, H. Azegami, and K. Ohtsuka
    • Journal Title

      Mathematical Analysis of Continuum Mechanics and Industrial Applications, Springer

      Volume: 1 Pages: 111-123

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Blow-up Rates of Solutions of Initial-Boundary Value Problems for a Quasi-Linear Parabolic Equation2017

    • Author(s)
      K. Anada and T. Ishiwata
    • Journal Title

      Journal of Differential Equations

      Volume: 262 Issue: 1 Pages: 181-271

    • DOI

      10.1016/j.jde.2016.09.023

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] 力法を用いた最適形状設計問題のアプローチによる自由境界問題の数値解析2016

    • Author(s)
      塩田青玄,マハラニ・アハサニ・ウンミ,木村正人,畔上秀幸,大塚厚二
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1995 Pages: 92-101

    • Related Report
      2016 Annual Research Report
    • Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] An energy-consistent model of dislocation dynamics in an elastic body2016

    • Author(s)
      V. Chalupeck\'y and M. Kimura
    • Journal Title

      Mathematical Challenges in a New Phase of Materials Science (Eds. Y. Nishiura and M. Kotani), Springer

      Volume: 1 Pages: 53-68

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Convergence of a threshold-type algorithm using the signed distance function2016

    • Author(s)
      K. Ishii and M. Kimura
    • Journal Title

      Interfaces Free Boundaries

      Volume: 18 Pages: 479-522

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] Mathematical and numerical studies on blow-up solutions to a quasilinear parabolic euqation2019

    • Author(s)
      T. Ishwiata
    • Organizer
      The 36th Kyushu Symposium on PDEs
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Blow-up problem of some nonlinear stochastic differential equation2019

    • Author(s)
      T. Ishiwata
    • Organizer
      NCTS 2019 Workshop on Applied Mathematics in Taichung
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Delay-induced blow-up in delay differential equations2019

    • Author(s)
      T. Ishwiata
    • Organizer
      The 3rd UOG-SIT joint workshop
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 時間遅れと解の爆発2019

    • Author(s)
      石渡哲哉
    • Organizer
      研究集会「非線形現象の数理解析」
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 蒸気過飽和度を考慮した2次元雪結晶成長モデル2019

    • Author(s)
      木村正人
    • Organizer
      日本数学会2019年度年会,東京工業大学
    • Related Report
      2018 Annual Research Report
  • [Presentation] Snow crystal growth model using generalized crystalline method2019

    • Author(s)
      Masato Kimura
    • Organizer
      Taiwan-Japan Joint Workshop on Inverse Problems in Kyoto 2019
    • Related Report
      2018 Annual Research Report
  • [Presentation] ガラスビーズ中で成長するTHFハイドレートの形態形成2019

    • Author(s)
      長島和茂・徳丸雅也
    • Organizer
      日本化学会第99春季年会(甲南大)
    • Related Report
      2018 Annual Research Report
  • [Presentation] 温度変動下における塩水中の氷結晶の個体数変化2019

    • Author(s)
      内田智大・長島和茂
    • Organizer
      日本化学会第99春季年会(甲南大)
    • Related Report
      2018 Annual Research Report
  • [Presentation] 温度変動下のストームグラス中のカンファー結晶挙動2019

    • Author(s)
      小田切拓史・長島和茂
    • Organizer
      日本化学会第99春季年会(甲南大)
    • Related Report
      2018 Annual Research Report
  • [Presentation] TBA=Technique Based on Approximations: Is Newton's method really Newton's method?2019

    • Author(s)
      矢崎成俊
    • Organizer
      数学と現象 in X (X=那須)@那須オオシマフォーラム
    • Related Report
      2018 Annual Research Report
  • [Presentation] Numerical approach of estimating blow-up rate using the rescaling algorithm2018

    • Author(s)
      T. Ishiwata
    • Organizer
      PANAM 2018 Symposium on Computational and Applied Mathematics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Delay-induced blow-up in some oscillation models2018

    • Author(s)
      T. Ishiwata
    • Organizer
      EASIAM
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Mathematical and Numerical Studies on Blow-up Rate of Solutions to Some Quasilinear Parabolic Equation2018

    • Author(s)
      T. Ishiwata
    • Organizer
      AIMS 2018 Special Session: Asymptotics for Nonlinear Diffusion Equations and Related Topics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Mathematical and numerical study of blow-up problem for some oscillation model with a delay2018

    • Author(s)
      T. Ishiwata
    • Organizer
      AIMS 2018 Special Session: Delay equations in population dynamics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Blow-up of solutions to some delay differential equations2018

    • Author(s)
      T. Ishiwata
    • Organizer
      CJS2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] リスケーリング・アルゴリズムを利用した爆発レートの数値的推定について2018

    • Author(s)
      石渡哲哉
    • Organizer
      神戸大学解析セミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] タイムラグが引き起こす解の爆発現象と周期解の出現2018

    • Author(s)
      石渡哲哉
    • Organizer
      芝浦工大における微分方程式セミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 界面現象および爆発現象の数理解析2018

    • Author(s)
      石渡哲哉
    • Organizer
      「ホリスティック物理学研究所」主催セミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 曲面成長問題におけるセパラトリックスについて2018

    • Author(s)
      石渡哲哉
    • Organizer
      界面現象の数理・モデリング研究合宿2018
    • Related Report
      2018 Annual Research Report
  • [Presentation] 遅延微分方程式の解の爆発現象について2018

    • Author(s)
      石渡哲哉
    • Organizer
      東北大学理学部数学科 談話会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] A delamination-vibration model and its finite element analysis2018

    • Author(s)
      Masato Kimura
    • Organizer
      CoMFoS18: Mathematical Analysis of Continuum Mechanics II, Kyoto
    • Related Report
      2018 Annual Research Report
  • [Presentation] Gradient flow structure of the Maxwell-Zener model for viscoelasticity2018

    • Author(s)
      Masato Kimura
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations  and Applications, Taipei
    • Related Report
      2018 Annual Research Report
  • [Presentation] Snow crystal growth model with supersaturation of vapor2018

    • Author(s)
      Masato Kimura
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics 2018
    • Related Report
      2018 Annual Research Report
  • [Presentation] Phase field modeling for crack propagation with irreversibility2018

    • Author(s)
      Masato Kimura
    • Organizer
      China-Japan Symposium on Defects and Cracks in 2018 CSIAM Annual Meeting Chengdu, China
    • Related Report
      2018 Annual Research Report
  • [Presentation] A structure preserving finite element method for Maxwell type viscoelasticity problem2018

    • Author(s)
      Masato Kimura
    • Organizer
      Japan-Taiwan Joint Workshop on Scientific Computation and Related Topics, Taipei
    • Related Report
      2018 Annual Research Report
  • [Presentation] やさしい実験,ゆたかな数理2018

    • Author(s)
      矢崎成俊
    • Organizer
      特別実験講座,数学と現象:Mathematics and Phenomena in Miyazaki
    • Related Report
      2018 Annual Research Report
  • [Presentation] 紙燃焼現象のパラメータ推定について2018

    • Author(s)
      矢崎成俊
    • Organizer
      界面現象の数理・モデリング研究合宿
    • Related Report
      2018 Annual Research Report
  • [Presentation] 様々な Hele-Shaw 型問題の基本解近似解法による統一的数値解法2018

    • Author(s)
      榊原航也,矢崎成俊
    • Organizer
      日本応用数理学会
    • Related Report
      2018 Annual Research Report
  • [Presentation] TBA=Totally Bizarre Abresch-Langer curves (To Ben Andrews)2018

    • Author(s)
      矢崎成俊
    • Organizer
      数学と現象 in X (X = 長瀞)
    • Related Report
      2018 Annual Research Report
  • [Presentation] On flame/smoldering evolution equations and its numerical computations2018

    • Author(s)
      S. Yazaki
    • Organizer
      チェコ日本応用数学セミナー(Czech-Japanese Seminar in Applied Mathematics 2018, CJS2018)
    • Related Report
      2018 Annual Research Report
  • [Presentation] 構造保存を目指した動く曲線の数値計算について2018

    • Author(s)
      矢崎成俊
    • Organizer
      第4回大分大学解析セミナー
    • Related Report
      2018 Annual Research Report
  • [Presentation] さまざまな界面現象に現れる動く曲線の数値計算について2018

    • Author(s)
      矢崎成俊
    • Organizer
      表面・界面ダイナミクスの数理15
    • Related Report
      2018 Annual Research Report
  • [Presentation] THFハイドレート中への塩水の取り込みおよび温度勾配下での脱塩過程2018

    • Author(s)
      長島和茂、石崎理
    • Organizer
      日本化学会 第98春季年会、日本大学理工学部 船橋キャンパス
    • Related Report
      2017 Annual Research Report
  • [Presentation] Generalized hexagonal crystalline motion with facet collision and breaking and application to a snow flake model2017

    • Author(s)
      M. Kimura
    • Organizer
      Emerging Developments in Interfaces and Free Boundaries
    • Place of Presentation
      Oberwolfach Research Institute for Mathematics, Germany
    • Year and Date
      2017-01-22
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] ヘレ・ショウ流れ,結晶成長,紙の燃焼に対する境界追跡法について2017

    • Author(s)
      矢崎成俊
    • Organizer
      RIMS研究集会(京都大学数理解析研究所)
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Direct approaches for tracking the moving boundary arising in interfacial phenomena2017

    • Author(s)
      S. Yazaki
    • Organizer
      Session organizer and talk: Moving boudaries and complex phenomena II, Equadiff 2017 at Slovak University of Technology in Bratislava
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Motion by crystalline curvature of polygonal curves2017

    • Author(s)
      T. Ishiwata
    • Organizer
      Minisymposium MS-14 ``Moving boundaries and complex phenomena I'', Equadiff 2017, Slovak University of Technology in Bratislava, Bratislava, Slovakia
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Analysis of unidirectional diffusion equation and its gradient flow structure2017

    • Author(s)
      Masato Kimura
    • Organizer
      The 42nd Sapporo Symposium on Partial Differential Equations, Hokkaido University
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 界面現象に現れる移動境界の追跡法2017

    • Author(s)
      矢崎成俊
    • Organizer
      日本数学会
    • Place of Presentation
      首都大学東京
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] How to track the moving boundary arising in interfacial phenomena, Invited talk2017

    • Author(s)
      S. Yazaki
    • Organizer
      Reaction-diffusion system, theory and applications
    • Place of Presentation
      Meiji University
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Delay-induced blow-up in a limit-cycle oscillation model2017

    • Author(s)
      T. Ishiwata
    • Organizer
      2017 NCTS Workshop on Applied Mathematics at Tainan, Tainan University
    • Place of Presentation
      Taiwan
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Behavior of polygonal curves by area-preserving crystalline curvature flow2017

    • Author(s)
      T. Ishiwata
    • Organizer
      The 1st UOG-SIT Research Workshop in Mathematics and Computer Science in Guam, University of Guam
    • Place of Presentation
      Guam (USA)
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] タイムラグが引き起こす爆発現象:リミットサイクル振動モデルを題材に2017

    • Author(s)
      石渡哲哉
    • Organizer
      日本数学会 応用数学分科会
    • Place of Presentation
      首都大学東京
    • Related Report
      2016 Annual Research Report
  • [Presentation] Phase field model for crack propagation and some applications2016

    • Author(s)
      M. Kimura
    • Organizer
      Japan-Taiwan Joint Workshop on Numerical Analysis and Scientific Computation
    • Place of Presentation
      Taiwan
    • Year and Date
      2016-11-26
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Shape optimization approach to free boundary problems by traction method2016

    • Author(s)
      M. Kimura
    • Organizer
      ICCOPT2016
    • Place of Presentation
      Tokyo, Japan
    • Year and Date
      2016-08-06
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Applications of a phasefield model for crack propagation2016

    • Author(s)
      M. Kimura
    • Organizer
      WCCM XII&APCOM VI
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2016-07-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Unidirectional gradient flow and its application to a crack propagation model2016

    • Author(s)
      M. Kimura
    • Organizer
      Variational Models of Fracture
    • Place of Presentation
      Banff International Research Startion, Canada
    • Year and Date
      2016-05-08
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Behavior of polygonal curves by area-preserving crystalline curvature flow2016

    • Author(s)
      T. Ishiwata
    • Organizer
      Banach Center Conference ``Mathematics of Pattern Formation``
    • Place of Presentation
      Mathematical Research and Conference Center in Bedlewo, Poland
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Structure preserving finite difference scheme for the vortex filament motion2016

    • Author(s)
      T. Ishiwata
    • Organizer
      NUMTA 2016 - Numerical Computations, Theory and Algorithms -,The 2nd International Conference and Summer School
    • Place of Presentation
      Calabria, Italy
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Numerical and mathematical studies of some blow-up problems2016

    • Author(s)
      T. Ishiwata
    • Organizer
      Mini-Workshop on Nonlinear phenomena, Modeling, PDEs and Simulation, Technische Universit\"{a}t
    • Place of Presentation
      M\"{u}nchen
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Numerical and mathematical analyses of blow-up solutions to ODE system with a delay, (poster)2016

    • Author(s)
      T. Ishiwata
    • Organizer
      Czech-Japanese-Polish Seminar in Applied Mathematics 2016, AGH University of Science and Technology
    • Place of Presentation
      Krak\'{o}w, Poland
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Delay-induced blow-up in some limit-cycle oscillation model: mathematical and numerical analyses2016

    • Author(s)
      T. Ishiwata
    • Organizer
      日本数学会応用数学分科会主催 応用数学合同研究集会
    • Place of Presentation
      龍谷大学 瀬田キャンパス
    • Related Report
      2016 Annual Research Report
  • [Book] 実験数学読本:真剣に遊ぶ数理実験から大学数学へ2016

    • Author(s)
      矢崎成俊
    • Total Pages
      249
    • Publisher
      日本評論社
    • Related Report
      2016 Annual Research Report
  • [Book] 共立出版2016

    • Author(s)
      矢崎成俊
    • Total Pages
      222
    • Publisher
      界面現象と曲線の微積分
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] Phase-Field Models of Fracture2019

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] Czech-Japanese Seminar in Applied Mathematics 20182018

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] The 16th Workshop on Mathematical Analysis for Nonlinear Phenomena2018

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] The 17th Workshop on Mathematical Analysis for Nonlinear Phenomena2018

    • Related Report
      2018 Annual Research Report

URL: 

Published: 2016-04-21   Modified: 2020-03-30  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi