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研究者情報

データ更新日:2024年04月01日

ヴァンマース パトリック (ゔぁんまあす ぱとりっく) 准教授 van Meurs, Patrick

メール 研究室ウェブサイト

所属組織・役職等

理工研究域 数物科学系 理工研究域・数物科学系
助教 テニュアトラック

教育分野

【学士課程】
理工学域 数物科学類 計算科学コース
【大学院前期課程】
自然科学研究科 数物科学専攻

所属研究室等

計算科学コース・応用計算数理

学歴

【出身大学院】
Eindhoven University of Technology (Netherlands) 修士課程 2011/09
【出身大学】
Eindhoven University of Technology (Netherlands)  2009/08 卒業
【取得学位】
博士

職歴

金沢大学 理工研究域・数物科学系 助教(2019/04/01-2024/03/31)
金沢大学  国際基幹教育院 GS教育系 特任助教(2017/11/01-2019/03/31)

生年月

1988年01月

所属学会

日本数学会

学内委員会委員等

受賞学術賞

専門分野

数学解析

専門分野キーワード

変分法・多粒子極限

研究課題

粘性・転位

著書

  • Mathematical Analysis of Continuum Mechanics and Industrial Applications II: Proceedings of the International Conference CoMFoS16 Springer Singapore 2018/09 単著 van Meurs, M. Kimura, H. Notsu

論文

  • Discrete-to-continuum limits of particles with an annihilation rule P. van Meurs, M. Morandotti SIAM Journal on Applied Mathematics 1940 - 1966頁 2019/10/01 査読有
  • Particle dynamics subject to impenetrable boundaries: existence and uniqueness of mild solutions M. Kimura, P. van Meurs, Z.X. Yang SIAM Journal on Mathematical Analysis 5049 - 5076頁 2019/12/01 査読有
  • Convergence and non-convergence of many-particle evolutions with multiple signs A. Garroni, P. van Meurs, M. A. Peletier, L. Scardia Archive for Rational Mechanics and Analysis 3 - 49頁 2020/01/01 査読有
  • Regularity of the minimiser of one-dimensional interaction energies M. Kimura, P. van Meurs ESAIM: Control, Optimisation and Calculus of Variations 1 - 43頁 2020/03/01 査読有
  • Atomistic origins of continuum dislocation dynamics  T. Hudson, P. van Meurs, M. A. Peletier Mathematical Models and Methods in Applied Sciences 30巻 13号 2557 - 2618頁 2020/12/01 査読有

全て表示

  • The continuum limit of interacting dislocations on multiple slip systems P. van Meurs ESAIM: Control, Optimisation and Calculus of Variations 26巻 1-26頁 2020/12/01 査読有
  • Quantitative estimate of the continuum approximations of interacting particle systems in one dimension M. Kimura, P. van Meurs SIAM Journal on Mathematical Analysis 53巻 1号 681-709頁 2021/01/27 査読有 原著論文
  • Discrete-to-continuum limits of planar disclinations P. Cesana, P. van Meurs ESAIM: Control, Optimisation and Calculus of Variations 27巻 1-24頁 2021/03/26 査読有 原著論文
  • Particle dynamics with elastic collision at the boundary: existence and partial uniqueness of solutions M. Kimura, P. van Meurs, Z.X. Yang Acta Applicandae Mathematicae 1-26頁 2021/07/01 査読有
  • Expansions for the linear-elastic contribution to the self-interaction force of dislocation curves P. van Meurs European Journal of Applied Mathematics 1-30頁 2021/10/01 査読有
  • Boundary-layer analysis of repelling particles pushed to an impenetrable barrier P. van Meurs SIAM Journal on Mathematical Analysis 54巻 2号 1742-1774頁 2022/03/01 査読有
  • Uniqueness of local, analytic solutions to singular ODEs T. G. de Jong and P. van Meurs Acta Applicandae Mathematicae 1-13頁 2022/07/01 査読有
  • Discrete-to-continuum convergence of charged particles in 1D with annihilation P. van Meurs and M. A. Peletier and N. Pozar Archive for Rational Mechanics and Analysis 1-51頁 2022/09/01 査読有
  • Motion by mean curvature from Glauber-Kawasaki dynamics with speed change T. Funaki and P. van Meurs and S. Sethuraman and K. Tsunoda Journal of Statistical physics 2023/01/01
  • Convergence rates for energies of interacting particles whose distribution spreads out as their number increases P. van Meurs and K. Tanaka ESAIM: Control, Optimisation and Calculus of Variations 2023/01/01 査読有
  • A simple, accurate scheme for the flow of an electric charge distribution L. Apisornpanich and P. van Meurs The Science Reports of Kanazawa University 2023/06/01
  • Constant-speed interface flow from unbalanced Glauber-Kawasaki dynamics T. Funaki and P. van Meurs and S. Sethuraman and K. Tsunoda Ensaios Matemáticos 2023/07/01
  • Discrete Dislocations Dynamics with annihilation as the limit of the Peierls-Nabarro model in one dimension P. van Meurs and S. Patrizi SIAM Journal on Mathematical Analysis 2024/01/05

講演・口頭発表等

  • Atomistic origins of continuum dislocation dynamics(会議名:15th World Congress on Computational Mechanics)(2022/08/04)
  • Hydrodynamic limit for a stochastic interacting particle system on the discrete torus(会議名:金沢解析セミナー)(2022/03/10)
  • Hydrodynamic limit for Glauber-Kawasaki dynamics with speed change(会議名:SALSIS workshop on stochastic analysis)(2021/12/08)
  • Convergence rates of interacting particle systems in the many particle limit(会議名:SIAM Conference on Mathematical Aspects of Materials Science)(2021/05/27)
  • Discrete-to-continuum limit of dislocation dynamics including collisions(会議名:SIAM Conference on Mathematical Aspects of Materials Science)(2021/05/19)

全て表示

  • Discrete-to-continuum convergence of charged particles in 1D with annihilation(会議名:Kyoto Applied Math seminar)(2021/05/18)
  • Quantification of the difference between discrete and continuum descriptions of arrays of dislocations(会議名:Cardiff School of Mathematics Seminar)(2021/02/16)
  • Understanding plasticity with mathematics(2020/10/28)
  • Many-particle limit of interacting particles with an annihilation rule(会議名:Hydrodynamic limit and related topics)(2019/12/20)
  • Error estimate for a particle system approximation of singular integral equations(会議名:RIMS workshop on numerical analysis)(2019/11/08)
  • Scaling limits of interacting random walks on fine lattices(会議名:SALSIS workshop on stochastic analysis)(2019/11/06)
  • Upscaling of dislocation dynamics including collisions(会議名:RIMS workshop on pattern formation)(2019/10/11)
  • Discrete-to-continuum limit of particles with an annihilation rule(会議名:MSJ Autumn Meeting)(2019/09/17)
  • Discrete-to-continuum limit of interacting particles with an annihilation rule(会議名:Worskhop on Gradient Flows)(2019/08/09)
  • Convergence of a phases-field model to a system of moving particles in 1D with collisions(会議名:Workshop on nonlinear Analysis)(2023/11/24)
  • Towards a particle system for the incompressible Navier-Stokes equation(会議名:SALSIS workshop on stochastic analysis)(2023/10/26)
  • Plasticity as the collective motion of lattice defects(会議名:Applied Mathematics Seminar)(2023/08/31)
  • Mean curvature flow as the limit of a spin system(会議名:10th International Congress on Industrial and Applied Mathematics (ICIAM))(2023/08/21)
  • Huygens' principle from unbalanced Glauber-Kawasaki dynamics(会議名:SALSIS workshop on stochastic analysis)(2022/12/08)
  • Scaling limits of a nonlocally interacting particle system(会議名:Workshop on Probabilistic Methods in Statistical Mechanics of Random Media and Random Fields 2023)(2023/01/13)

その他(報告書など)

  • Bridging the scales between discrete and continuum dislocation models P. van Meurs Mathematical Analysis of Continuum Mechanics and Industrial Applications: Proceedings of the international conference CoMFoS15 15-25頁 2017/09/01
  • Convergence rates for discrete-to-continuum limits in 1D particle systems P. van Meurs Mathematical Analysis of Continuum Mechanics and Industrial Applications II: Proceedings of the international conference CoMFoS16 181-193頁 2018/09/01

芸術・フィールドワーク

特許

共同研究希望テーマ

○粘性を理解する事

科研費

○discrete-to-continuum limits「Understanding plasticity of metals through proving discrete-to-continuum lim its of interacting particle systems」(2020-2023) 代表者

競争的資金・寄付金等

共同研究・受託研究実績

A-STEP採択課題

学域・学類担当授業科目

○特別講義(2023)
○特別講義(2023)
○特別講義(2023)
○特別講義(2023)
○解析学2C(2023)
○線形代数学IIA(2023)
○線形代数学IIB(2023)
○解析学3B(2023)
○特別講義(解析学における証明)(2022)
○特別講義(変分法)(2022)
○線形代数学ⅡA(2022)
○線形代数学ⅡB(2022)
○解析学3B(2022)
○特別講義(2021)
○特別講義(2021)
○線形代数学IIA(2021)
○線形代数学IIB(2021)
○解析学3B(2021)
○特別講義(2020)
○特別講義(2020)
○線形代数学IIA(2020)
○線形代数学第二(2020)
○線形代数学IIB(2020)
○解析学3B(2020)
○解析学3B(2019)
○線形代数学第一(2018)
○微分積分学第一(2018)
○線形代数学第二(2018)
○微分積分学第二(2018)

大学院担当授業科目

○計算理学概論b(2023)
○留学生基礎科目(2022)
○留学生基礎科目(2021)
○計算理学概論b(2021)
○計算理学概論a(2021)
○留学生基礎科目Ⅰa(2020)
○留学生基礎科目Ⅱa(2020)
○留学生基礎科目Ⅱb(2020)
○計算理学概論a(2020)
○計算理学概論b(2020)
○留学生基礎科目Ⅰb(2020)
○留学生基礎科目Ⅰb(2019)
○留学生基礎科目Ⅱa(2019)
○計算理学概論a(2019)
○留学生基礎科目Ⅱb(2019)
○計算理学概論b(2019)
○留学生基礎科目Ⅰa(2019)

他大学の客員教授

教育活動(FD)に関する研究

国際事業協力

留学生参加の社会活動

審議会等の参加

講演可能なテーマ

その他公的社会活動

○(20220401-20220331) 広報委員

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