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Mathematical analyses on variable stable structures of nonlinear free-boundaries governed by structural phase transitions

Research Project

Project/Area Number 16K05224
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical analysis
Research InstitutionChiba University

Principal Investigator

Shirakawa Ken  千葉大学, 教育学部, 准教授 (50349809)

Project Period (FY) 2016-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords構造相転移 / 自由境界 / 安定構造 / 形態変化 / 抽象数学の手法 / 非線形解析学 / 幾何学的手法 / 有界変動函数の理論 / 仮似変分不等式 / 最適制御問題 / 結晶粒界運動 / 形状記憶合金 / 固体・液体相転移現象 / 全変動流 / 動的境界条件 / 数値計算 / 構造相転移を伴う自由境界 / 最適制御理論の構築 / 幾何学的形態変化の考察 / 仮似変分不等式による数学モデル / 結晶粒界の1次元KWC型モデル / 時間離散化した近似問題 / 最適制御の必要条件 / 結晶構造解の時間局所解の存在と一意性 / 自由境界問題 / 制御問題 / エネルギーの形態変化 / 結晶構造解 / 発展方程式 / 熱方程式との連立モデル / 温度による制御問題 / 仮似変分構造 / 抽象数学による制御理論 / モデリングにおける新展開 / 結晶構造の動的変化 / 結晶構造の形態変化を伴う提案モデル / 動的境界条件の実装 / 提案モデルの数学解析 / 形態変化する安定構造 / 結晶粒界 / BV理論と数値実験
Outline of Final Research Achievements

The aim of this research is to study on the variable stable structures of nonlinear free-boundaries governed by structural phase transitions. To this end, the research program consists of: the qualitative observation by means of the abstract theory of nonlinear analysis; and the geometric observation based on the theory of function of bounded variation. The principal results are concerned with: (A) mathematical modelling and analysis; (B) geometric observation of variable stable structure; (C) optimal control problem; (D) numerical analysis; and the results are published in forms of: 15 peer-reviewed papers (including 6 international collaborations); and 44 presentations (including 6 invited talks, and 13 talks in international conferences).

Academic Significance and Societal Importance of the Research Achievements

構造相転移は「金属の結晶」や「コロイドのベシクル」などを扱う材料科学の分野において、予測や制御が困難な現象として注目される代表的な研究テーマの一つである。この点において、本研究で実施した「自由境界の数学解析」と「最適制御問題」は、現象の予測と制御に直結した活動であり、得られた成果は「独自の数学理論の構築」という学術的意義と、「科学技術への応用の可能性に富んだ成果の産出」という社会的意義の双方の側面を併せ持っている。

Report

(6 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (89 results)

All 2020 2019 2018 2017 2016 Other

All Int'l Joint Research (12 results) Journal Article (22 results) (of which Int'l Joint Research: 8 results,  Peer Reviewed: 15 results,  Open Access: 6 results,  Acknowledgement Compliant: 2 results) Presentation (47 results) (of which Int'l Joint Research: 13 results,  Invited: 6 results) Remarks (6 results) Funded Workshop (2 results)

  • [Int'l Joint Research] George Mason University(米国)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] University of Valencia(スペイン)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] George Mason University(米国)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] University of Valencia(スペイン)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] George Mason University(米国)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] University of Valencia(スペイン)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] バレンシア大学(スペイン)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] パヴィア大学(イタリア)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] ジョージ・メイソン大学(米国)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] バレンシア大学(スペイン)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] パヴィア大学(イタリア)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] ジョージ・メイソン大学(米国)

    • Related Report
      2016 Research-status Report
  • [Journal Article] Doubly nonlinear evolution inclusions of time-dependent subdifferentials --quasi-variational approach--2020

    • Author(s)
      Kenmochi Nobuyuki、Shirakawa Ken、Yamazaki Noriaki
    • Journal Title

      Advances in Mathematical Sciences and Applications

      Volume: 29 Pages: 311-343

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Energy‐dissipation in a coupled system of Allen--Cahn‐type equation and Kobayashi--Warren--Carter‐type model of grain boundary motion2020

    • Author(s)
      Watanabe Hiroshi、Shirakawa Ken
    • Journal Title

      Mathematical Methods in the Applied Sciences

      Volume: 43 Issue: 17 Pages: 10138-10167

    • DOI

      10.1002/mma.6684

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Control for Shape Memory Alloys of the One-Dimensional Fremond Model2020

    • Author(s)
      Pierluigi Colli, M. Hassan Farshbaf-Shaker, Ken Shirakawa, and Noriaki Yamazaki
    • Journal Title

      Numerical Functional Analysis and Optimization

      Volume: 41 Issue: 12 Pages: 1421-1471

    • DOI

      10.1080/01630563.2020.1774892

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Approximate methods for singular optimal control problems of nonlinear evolution inclusions with quasi-variational structure2020

    • Author(s)
      Kenmochi Nobuyuki、Shirakawa Ken、Yamazaki Noriaki
    • Journal Title

      Advances in Mathematical Sciences and Applications

      Volume: 29 Pages: 419-457

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A class of approximate optimal control problems for 1-D phase-field system with singularity and its numerical algorithm2020

    • Author(s)
      Kubota Shodai、Shirakawa Ken、Yamazaki Noriaki
    • Journal Title

      Advances in Mathematical Sciences and Applications

      Volume: 29 Pages: 495-561

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal control problems for 1D parabolic state-systems of KWC types with dynamic boundary conditions2020

    • Author(s)
      Kubota Shodai、Shirakawa Ken、Nakayashiki Ryota
    • Journal Title

      Advances in Mathematical Sciences and Applications

      Volume: 29 Pages: 583-637

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On boundary detachment phenomena for the total variation flow with dynamic boundary conditions2020

    • Author(s)
      Giga Yoshikazu、Nakayashiki Ryota、Rybka Piotr、Shirakawa Ken
    • Journal Title

      Journal of Differential Equations

      Volume: 269 Issue: 12 Pages: 10587-10629

    • DOI

      10.1016/j.jde.2020.07.015

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A class of parabolic systems associated with optimal controls of grain boundary motions2018

    • Author(s)
      Antil Harbir, Shirakawa Ken, Yamazaki Noriaki
    • Journal Title

      Advances in Mathematical Sciences and Applications

      Volume: 27 Pages: 297-334

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 1 次元 Kobayashi-Warren-Carter システムの結晶構造解2018

    • Author(s)
      白川 健、渡邉 紘
    • Journal Title

      第 44 回発展方程式研究会予稿集

      Volume: - Pages: 34-37

    • Related Report
      2018 Research-status Report
  • [Journal Article] Inverse problem approaches for mathematical models implementing municipal statistical data2017

    • Author(s)
      白川 健、大岩 壮史
    • Journal Title

      千葉大学教育学部研究紀要 = Bulletin of the Faculty of Education, Chiba University

      Volume: 65 Pages: 389-394

    • DOI

      10.20776/S13482084-65-P389

    • NAID

      120006375974

    • URL

      https://opac.ll.chiba-u.jp/da/curator/104466/

    • Year and Date
      2017-03-01
    • Related Report
      2017 Research-status Report
    • Open Access
  • [Journal Article] Weak Formulation for Singular Diffusion Equation with Dynamic Boundary Condition2017

    • Author(s)
      Nakayashiki Ryota、Shirakawa Ken
    • Journal Title

      Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs

      Volume: 22 Pages: 405-429

    • DOI

      10.1007/978-3-319-64489-9_16

    • ISBN
      9783319644882, 9783319644899
    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] New Class of Doubly Nonlinear Evolution Equations Governed by Time-Dependent Subdifferentials2017

    • Author(s)
      Kenmochi Nobuyuki、Shirakawa Ken、Yamazaki Noriaki
    • Journal Title

      Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs

      Volume: 22 Pages: 281-304

    • DOI

      10.1007/978-3-319-64489-9_11

    • ISBN
      9783319644882, 9783319644899
    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Singular optimal control problems for doubly nonlinear and quasi-variational evolution equations2017

    • Author(s)
      Kenmochi Nobuyuki、Ken Shirakawa、Noriaki Yamazaki
    • Journal Title

      Adv. Math. Sci. Appl.

      Volume: 26 Pages: 313-379

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Energy dissipative solutions to the Kobayashi-Warren-Carter system2017

    • Author(s)
      Moll Salvador、Shirakawa Ken、Watanabe Hiroshi
    • Journal Title

      Nonlinearity

      Volume: 30 Issue: 7 Pages: 2752-2784

    • DOI

      10.1088/1361-6544/aa6eb4

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions2017

    • Author(s)
      Colli Pierluigi、Gilardi Gianni、Nakayashiki Ryota、Shirakawa Ken
    • Journal Title

      Nonlinear Anal.

      Volume: 158 Pages: 32-59

    • DOI

      10.1016/j.na.2017.03.020

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Solvability for the non-isothermal Kobayashi-Warren-Carter system2017

    • Author(s)
      K. Shirakawa and H. Watanabe
    • Journal Title

      AIMS Mathematics

      Volume: 2 Issue: 1 Pages: 161-194

    • DOI

      10.3934/math.2017.1.161

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Kobayashi-Warren-Carter 型システムの1次元定常解2017

    • Author(s)
      白川 健、渡邉 紘、中屋敷 亮太、Moll Salvador
    • Journal Title

      第43回発展方程式研究会予稿集

      Volume: ー Pages: 20-23

    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Journal Article] Energy-dissipations for gradient systems associated with anisotropic grain boundary motions2017

    • Author(s)
      Shirakawa Ken、Moll Salvador
    • Journal Title

      MFO Report, Mathematisches Forschungsinstitut Oberwolfach

      Volume: 6 Issue: 1 Pages: 1-3

    • DOI

      10.4171/owr/2017/6

    • Related Report
      2017 Research-status Report
    • Open Access / Int'l Joint Research
  • [Journal Article] Convergence of numerical algorithm for approximat- ing optimal control problems of phase field system with singular diffusivity.2016

    • Author(s)
      Shirakawa, K.; Yamazaki, N.:
    • Journal Title

      Adv. Math. Sci. Appl.

      Volume: 25 Pages: 243-272

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Mathematical analysis for a Warren-Kobayashi-Lobkovsky-Carter type system.2016

    • Author(s)
      Shirakawa, K.; Watanabe, H.; Yamazaki, N.:
    • Journal Title

      Developments of the theory of evolution equations as the applications to the analysis for nonlinear phenomena, RIMS KoKyuroku

      Volume: 1997 Pages: 64-85

    • Related Report
      2016 Research-status Report
  • [Journal Article] 地域経済モデルに対する最適制御問題と市町村統計データを実装した数値 シミュレーション.2016

    • Author(s)
      白川 健:
    • Journal Title

      千葉大学教育学部研究紀要

      Volume: 64 Pages: 419-424

    • NAID

      120005907239

    • Related Report
      2016 Research-status Report
    • Open Access
  • [Journal Article] 平面幾何における非等方的等周問題の劣微分作用素を用いた考察.2016

    • Author(s)
      白川 健; 高橋 克仁:
    • Journal Title

      千葉大学教育学部研究紀要

      Volume: 64 Pages: 413-418

    • NAID

      120005907238

    • Related Report
      2016 Research-status Report
    • Open Access
  • [Presentation] Constrained optimal control problems for Kobayashi-Warren-Carter type systems of grain boundary motions2020

    • Author(s)
      Shirakawa Ken
    • Organizer
      Surface and Interface Dynamics, Modelling, Analysis and Computation (Online)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Control of parameter-dependent evolution equations governed by time-dependent subdifferentials2020

    • Author(s)
      山崎 教昭、剣持 信幸、白川 健
    • Organizer
      2020日本数学会秋季総合分科会 (実函数論)
    • Related Report
      2020 Annual Research Report
  • [Presentation] 一般多次元での時間離散型 Kobayashi--Warren--Carter システムに対する最適制御問題2020

    • Author(s)
      久保田 翔大、白川 健
    • Organizer
      2020日本数学会秋季総合分科会 (実函数論)
    • Related Report
      2020 Annual Research Report
  • [Presentation] Sufficient condition for the existence of one-dimensional crystalline solution of the Kobayashi-Warren-Carter type system2020

    • Author(s)
      白川 健、渡邉 紘
    • Organizer
      2020日本数学会秋季総合分科会 (実函数論)
    • Related Report
      2020 Annual Research Report
  • [Presentation] Optimal control problems of grain boundary motions with temperature constraints2020

    • Author(s)
      Shirakawa Ken
    • Organizer
      Workshop on Nonlocal diffusion, nonlocal interface evolution problems (Online)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Doubly nonlinear evolution inclusions of time-dependent subdifferentials --quasi-variational approach--2020

    • Author(s)
      山崎 教昭、剣持 信幸、白川 健
    • Organizer
      第46回発展方程式研究会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 連続系 K.W.C. 型フェーズフィールドシステムに対するオブスタクル制約条件付きの温度最適制御問題2020

    • Author(s)
      久保田 翔大、Antil Harbir、白川 健、山崎 教昭
    • Organizer
      第46回発展方程式研究会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 時間離散系 K.W.C. 型システムに支配される温度最適制御問題2020

    • Author(s)
      白川 健、久保田 翔大
    • Organizer
      第46回発展方程式研究会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Solvability of quasi-variational evolution inclusions via optimal control problems2020

    • Author(s)
      山崎 教昭、剣持 信幸、白川 健
    • Organizer
      2021日本数学会年会 (実函数論)
    • Related Report
      2020 Annual Research Report
  • [Presentation] 1 次元特異拡散方程式を含む Fix--Caginalp 型連立系に支配される最適制御問題2020

    • Author(s)
      久保田 翔大, 白川 健、山崎 教昭
    • Organizer
      2021日本数学会年会 (実函数論)
    • Related Report
      2020 Annual Research Report
  • [Presentation] Optimal temperature controls for 1D KWC type systems with dynamic boundary conditions2020

    • Author(s)
      白川 健、久保田 翔大、中屋敷 亮太
    • Organizer
      2021日本数学会年会 (実函数論)
    • Related Report
      2020 Annual Research Report
  • [Presentation] One-dimensional crystalline solution to phase-field model of grain boundary motion2019

    • Author(s)
      Ken Shirakawa, Hiroshi Watanabe
    • Organizer
      ICIAM 2019: The 9th International Congress on Industrial and Applied Mathematics (Valencia, Spain)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Mathematical analyses for gradient systems associated with grain boundary motions2019

    • Author(s)
      Ken Shirakawa
    • Organizer
      Kanazawa workshop: Gradient flows and related topics: analysis and applications (Kanazawa, Japan)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Mathematical approaches to Kobayashi-Warren-Carter type models of grain boundary motions2019

    • Author(s)
      白川 健
    • Organizer
      研究集会「第 15 回非線型の諸問題」(熊本大)
    • Related Report
      2019 Research-status Report
  • [Presentation] Structural observation for one-dimensional Kobayashi-Warren-Carter type system2019

    • Author(s)
      Ken Shirakawa
    • Organizer
      RIMS Workshop: New development in the theory of evolution equations: theory, phenomena and technology (Kyoto, Japan)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Kobayashi-Warren-Carter システムの1次元結晶構造解に対する時間局所存在定理2019

    • Author(s)
      白川 健, 渡邉 紘
    • Organizer
      第 45 回発展方程式研究会(日本女子大)
    • Related Report
      2019 Research-status Report
  • [Presentation] Approximate problems for singular optimal control of nonlinear evolution equations governed by double time-dependent subdifferentials2019

    • Author(s)
      剣持 信幸, 山崎 教昭, 白川 健
    • Organizer
      2019 日本数学会秋期総合分科会 実函数論分科会(金沢大)
    • Related Report
      2019 Research-status Report
  • [Presentation] Optimal control problem for one-dimensional semi-discrete system of Kobayashi-Warren-Carter type2019

    • Author(s)
      白川 健
    • Organizer
      2019 日本数学会秋期総合分科会 実函数論分科会(金沢大)
    • Related Report
      2019 Research-status Report
  • [Presentation] Control of parameter-dependent evolution equations governed by time-dependent subdifferentials2019

    • Author(s)
      剣持 信幸, 山崎 教昭, 白川 健
    • Organizer
      2020 日本数学会年会 実函数論分科会(日大)
    • Related Report
      2019 Research-status Report
  • [Presentation] 一般多次元での時間離散型 Kobayashi-Warren-Carter システムに対する 最適制御問題2019

    • Author(s)
      久保田 翔大, 白川 健
    • Organizer
      2020 日本数学会年会 実函数論分科会(日大)
    • Related Report
      2019 Research-status Report
  • [Presentation] Sufficient condition for the existence of one-dimensional crystalline solution of the Kobayashi-Warren-Carter type system2019

    • Author(s)
      白川 健, 渡邉 紘
    • Organizer
      2020 日本数学会年会 実函数論分科会(日大)
    • Related Report
      2019 Research-status Report
  • [Presentation] Singular optimal control problems for nonlinear evolution equations governed by double time-dependent subdifferentials2019

    • Author(s)
      山崎 教昭、白川 健
    • Organizer
      2019 日本数学会年会 実函数論分科会(東工大)
    • Related Report
      2018 Research-status Report
  • [Presentation] 結晶粒界の 1 次元フェーズ・フィールド モデルにおける解の構造解析2019

    • Author(s)
      白川 健、渡邉 紘
    • Organizer
      2019 日本数学会年会 実函数論分科会(東工大)
    • Related Report
      2018 Research-status Report
  • [Presentation] Phase field models of grain boundary motions with dynamic boundary conditions2018

    • Author(s)
      Shirakawa Ken, Watanabe Hiroshi, Moll Salvador
    • Organizer
      BIRS Workshop 18w5033: Advanced Developments for Surface and Interface Dynamics - Analysis and Computation (Banff, Canada)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Gradient systems for anisotropic energies associated with image processings2018

    • Author(s)
      Shirakawa Ken, Watanabe Hiroshi
    • Organizer
      12th AIMS Conference on Dynamical Systems, Differential Equations and Applications (National Taiwan University, Taipei, Taiwan)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Double quasi-variational evolution equations governed by time-dependent subdifferentials2018

    • Author(s)
      山崎 教昭、白川 健
    • Organizer
      2018 日本数学会秋期総合分科会 実函数論分科会(岡山大)
    • Related Report
      2018 Research-status Report
  • [Presentation] A class of optimal control problems for one-dimensional Kobayashi-Warren-Carter type systems2018

    • Author(s)
      白川 健、Antil Harbir、山崎 教昭
    • Organizer
      2018 日本数学会秋期総合分科会 実函数論分科会(岡山大)
    • Related Report
      2018 Research-status Report
  • [Presentation] 1 次元 Kobayashi-Warren-Carter システムの結晶構造解2018

    • Author(s)
      白川 健、渡邉 紘
    • Organizer
      第 44 回発展方程式研究会
    • Related Report
      2018 Research-status Report
  • [Presentation] 非等方性を考慮する画像処理問題の支配エネルギーに対する連続系勾配流2018

    • Author(s)
      白川 健
    • Organizer
      2018 日本数学会年会 実函数論分科会 (東京大)
    • Related Report
      2017 Research-status Report
  • [Presentation] Quasi-variational evolution equations governed by double time-dependent subdifferentials2018

    • Author(s)
      山崎 教昭、剣持 信幸、白川 健
    • Organizer
      2018 日本数学会年会 実函数論分科会 (東京大)
    • Related Report
      2017 Research-status Report
  • [Presentation] 特異拡散と力学的境界条件に支配される Allen-Cahn 型方程式.2017

    • Author(s)
      中屋敷 亮太; 白川 健:
    • Organizer
      2017 日本数学会年会 (実函数論)
    • Place of Presentation
      首都大学東京 (東京)
    • Year and Date
      2017-03-26
    • Related Report
      2016 Research-status Report
  • [Presentation] 非斉次 Dirichlet 型境界条件を組み入れた結晶粒界運動のフェーズ・フィー ルドモデル.2017

    • Author(s)
      白川 健; 渡邉 紘; Moll, Salvador:
    • Organizer
      2017 日本数学会年会 (実函数論)
    • Place of Presentation
      首都大学東京 (東京)
    • Year and Date
      2017-03-26
    • Related Report
      2016 Research-status Report
  • [Presentation] Energy-dissipations for gradient systems associated with anisotropic grain boundary motions.2017

    • Author(s)
      Shirakawa, Ken; Moll, Salvador; Watanabe, Hiroshi:
    • Organizer
      MFO Workshop 1704: Emerging Developments in Interfaces and Free Boundaries
    • Place of Presentation
      Oberwolfach (Germany)
    • Year and Date
      2017-01-22
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Mathematical approaches to Kobayashi-Warren-Carter type models of grain boundary motions2017

    • Author(s)
      Shirakawa Ken、Moll Salvador、Watanabe Hiroshi、Yamazaki Noriaki
    • Organizer
      Mathematical Aspects of Surface and Interface Dynamics 14 (Univ. Tokyo, Japan)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Large-time behavior for phase-field systems of grain boundary motions with inhomogeneous boundary data2017

    • Author(s)
      Shirakawa Ken、Moll Salvador、Watanabe Hiroshi
    • Organizer
      International Conference on Free Boundary Problems, TS2: "Phase field models" (Shanghai Jaio-Tong Univ., China)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Kobayashi-Warren-Carter 型システムの1次元定常解2017

    • Author(s)
      白川 健、渡邉 紘、中屋敷 亮太、Moll Salvador
    • Organizer
      第43回発展方程式研究会 (日本女子大)
    • Related Report
      2017 Research-status Report
  • [Presentation] 結晶粒界運動の数学モデルの1次元定常解の解構造2017

    • Author(s)
      白川 健、渡邉 紘、中屋敷 亮太、Moll Salvador
    • Organizer
      2017 日本数学会秋期総合分科会 実函数論分科会 (山形大)
    • Related Report
      2017 Research-status Report
  • [Presentation] 力学的境界条件を課す場合の Allen-Cahn 型特異拡散方程式に対する数学解析2017

    • Author(s)
      中屋敷 亮太、白川 健
    • Organizer
      2017 日本数学会秋期総合分科会 実函数論分科会 (山形大)
    • Related Report
      2017 Research-status Report
  • [Presentation] New class of doubly nonlinear evolution equations governed by double time-dependent subdifferentials2017

    • Author(s)
      山崎 教昭、剣持 信幸、白川 健
    • Organizer
      2017 日本数学会秋期総合分科会 実函数論分科会 (山形大)
    • Related Report
      2017 Research-status Report
  • [Presentation] 力学的境界条件下における特異性を伴う準線形 Allen-Cahn 型方程式.2016

    • Author(s)
      中屋敷 亮太; Colli, Pierluigi; Gilardi, Gianni; 白川 健:
    • Organizer
      第 42 回発展方程式研究会
    • Place of Presentation
      日本女子大学目白キャンパス (東京)
    • Year and Date
      2016-12-25
    • Related Report
      2016 Research-status Report
  • [Presentation] 結晶粒界運動の非等方的フェーズ・フィールドモデルにおけるエネルギー消散性.2016

    • Author(s)
      白川 健; 渡邉 紘; Moll, Salvador:
    • Organizer
      第 42 回発展方程式研究会
    • Place of Presentation
      日本女子大学目白キャンパス (東京)
    • Year and Date
      2016-12-25
    • Related Report
      2016 Research-status Report
  • [Presentation] 力学的境界条件に支配される準線形放物型変分不等式2016

    • Author(s)
      中屋敷 亮太; Colli, Pierluigi; Gilardi, Gianni; 白川 健:
    • Organizer
      2016 日本数学会秋季総合分科会 (実函数論)
    • Place of Presentation
      関西大学 (大阪)
    • Year and Date
      2016-09-17
    • Related Report
      2016 Research-status Report
  • [Presentation] 結晶粒界運動の 1 次元モデルを状態方程式とする最適制御問題.2016

    • Author(s)
      白川 健; 山崎 教昭:
    • Organizer
      2016 日本数学会秋季総合分科会 (実函数論)
    • Place of Presentation
      関西大学 (大阪)
    • Year and Date
      2016-09-17
    • Related Report
      2016 Research-status Report
  • [Presentation] 微分方程式とその応用例.2016

    • Author(s)
      白川 健:
    • Organizer
      第 2 回数理科学夏季若手研究会
    • Place of Presentation
      京都教育大学1号館A棟2階A3教室 (京都)
    • Year and Date
      2016-09-08
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Energy dissipation in an anisotropic Kobayashi-Warren-Carter type model of grain boundary motion.2016

    • Author(s)
      Shirakawa, Ken; Moll, Salvador; Watanabe, Hiroshi:
    • Organizer
      11 th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      Orlando, Florida (USA)
    • Year and Date
      2016-07-01
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Dynamic boundary conditions for Allen-Cahn type equations with singularities2016

    • Author(s)
      Nakayashiki, Ryota; Colli, Pierluigi; Gilardi, Gianni; Shirakawa, Ken:
    • Organizer
      11 th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      Orlando, Florida (USA)
    • Year and Date
      2016-07-01
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Optimal controls for gradient systems associated with grain boundary motions.2016

    • Author(s)
      Shirakawa, Ken; Kenmochi, Nobuyuki; Moll Salvador; Watanabe, Hiroshi; Yamazaki, Noriaki:
    • Organizer
      Optimal Control for Evolutionary PDEs and Related Topics (OCERTO 2016)
    • Place of Presentation
      Palazzone, Cortona (Italy)
    • Year and Date
      2016-06-20
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Remarks] researchmap

    • URL

      https://researchmap.jp/read0094192

    • Related Report
      2020 Annual Research Report 2019 Research-status Report
  • [Remarks] publons

    • URL

      https://publons.com/researcher/3244410/ken-shirakawa/

    • Related Report
      2020 Annual Research Report 2019 Research-status Report
  • [Remarks] ORCID

    • URL

      https://orcid.org/0000-0002-5297-2317

    • Related Report
      2020 Annual Research Report 2019 Research-status Report
  • [Remarks] 研究者個人のページ

    • URL

      http://kenboich.jp/

    • Related Report
      2018 Research-status Report
  • [Remarks] 研究者の所属研究機関による業績公開ページ

    • URL

      http://curt.chiba-u.jp/search/ResultStudyList.aspx?ResNo=3079&type=Study

    • Related Report
      2018 Research-status Report
  • [Remarks] CURT 千葉大学研究者情報データベース

    • URL

      http://curt.chiba-u.jp/search/ResultStudyList.aspx?ResNo=3079&type=Study

    • Related Report
      2017 Research-status Report 2016 Research-status Report
  • [Funded Workshop] RIMS Workshop “Theoretical Developments to Phenomenon Analyses based on Nonlinear Evolution Equations”2018

    • Related Report
      2018 Research-status Report
  • [Funded Workshop] RIMS Workshop "Theory of Evolution Equation and Mathematical Analysis of Nonlinear Phenomena" (RIMS, Kyoto Univ., Japan)2017

    • Related Report
      2017 Research-status Report

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Published: 2016-04-21   Modified: 2022-02-21  

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