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Researcher Information

last modified:2025年11月23日

Associate Professor POZAR Norbert

Faculty, Affiliation

Faculty of Mathematics and Physics, Institute of Science and Engineering

College and School Educational Field

Division of Mathematical and Physical Science, Graduate School of Natural Science and Technology
Division of Mathematical and Physical Sciences, Graduate School of Natural Science and Technology
Course in Computational Science, School of Mathematics and Physics, College of Science and Engineering

Laboratory

Program in Applied Mathematics

Academic Background

【Academic background(Doctoral/Master's Degree)】
University of California, Los Angeles Doctor Department of Mathematics 2011
Charles University in Prague Master Faculty of Mathematics and Physics Mathematical and Computer Modelling in Physics and Technology 2006
【Degree】
Ph.D.

Career

Kanazawa University Associate Professor(2018年12月01日-)
Kanazawa University Assistant Professor(2013年08月01日-2018年11月30日)
University of Tokyo Graduate School of Mathematical Sciences Project researcher(2011年09月01日-2013年07月31日)

Year & Month of Birth

Academic Society

The Mathematical Society of Japan

Award

Specialities

Mathematical analysis

Speciality Keywords

viscosity solutions, free boundary problems, crystalline mean curvature flow, porous medium equation, Hele-Shaw problem, Stefan problem

Research Themes

Level set method for the crystalline mean curvature flow

Level set method for the crystalline mean curvature flow

Homogenization of free boundary problems

Homogenization of free boundary problems

Books

Papers

  • On volume-preserving crystalline mean curvature flow I. Kim, D. Kwon, N. Pozar Mathematische Annalen 32pages 2021年10月21日
  • Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term Yoshikazu Giga, Norbert Pozar SN Partial Differential Equations and Applications 1 39 1-26 2020/10
  • Singular limit of the porous medium equation with a drift Inwon Kim, Norbert Pozar, Brent Woodhouse Advances in Mathematics 349 682-732 2019年06月20日
  • An efficient numerical method for estimating the average free boundary velocity in an inhomogeneous Hele-Shaw problem Irma Palupi, Norbert Pozar The Science Reports of Kanazawa University 62 69-89 2019/04
  • A numerical level set method for the Stefan problem with a crystalline Gibbs-Thomson law Norbert Pozar RIMS Kôkyûroku 2094 137-145 2018/11


  • Long-time behavior of the one-phase Stefan problem in periodic and random media Norbert Pozar, Giang Thi Thu Vu Discrete & Continuous Dynamical Systems - Series S 11 5 991-1010 2018/10
  • Approximation of General Facets by Regular Facets with Respect to Anisotropic Total Variation Energies and Its Application to Crystalline Mean Curvature Flow Yoshikazu Giga, Norbert Pozar Communications on Pure and Applied Mathematics 71 7 1461-1491 2018年04月10日
  • Porous medium equation to Hele-Shaw flow with general initial density Inwon Kim, Norbert Pozar Trans. Amer. Math. Soc. 370 2 873-909 2017年10月05日
  • Viscosity solutions for the level set formulation of the crystalline mean curvature flow Norbert Pozar RIMS Kôkyûroku 1997 16-31 2016/07
  • A level set crystalline mean curvature flow of surfaces Yoshikazu Giga, Norbert Pozar Adv. Differential Equations 21 7/8 2016/05
  • Homogenization of the Hele-Shaw Problem in Periodic Spatiotemporal Media Norbert Pozar Archive for Rational Mechanics and Analysis 217 1 155–230 2015/07
  • Periodic total variation flow of non-divergence type in Rn Mi-Ho Giga, Yoshikazu Giga, Norbert Pozar Journal de Mathématiques Pures et Appliquées 102 1 203-233 2014/07
  • Nonlinear elliptic-parabolic problems Inwon Kim, Norbert Pozar Archive for Rational Mechanics and Analysis 210 3 975–1020 2013/12
  • Anisotropic total variation flow of non-divergence type on a higher dimensional torus Mi-Ho Giga, Yoshikazu Giga, Norbert Pozar Advances in Mathematical Sciences and Applications 21 1 235–266 2013
  • Long-time behavior of a Hele-Shaw type problem in random media Norbert Pozar Interfaces and Free Boundaries 13 3 373-395 2011
  • Viscosity Solutions for the Two-Phase Stefan Problem Inwon Kim, Norbert Pozar Communications in Partial Differential Equations 36 1 42-66 2010/11
  • On convex comparison for exterior Bernoulli problems with discontinuous anisotropy William M Feldman, Norbert Pozar Interfaces and free boundaries 2024年07月22日
  • Discrete-to-continuum convergence of charged particles in 1D with annihilation P. van Meurs, M. A. Peletier, N. Pozar Archive for Rational Mechanics and Analysis 246 241-297 2022年09月06日
  • Motion by crystalline-like mean curvature: a survey Y. Giga, N. Pozar Bulletin of Mathematical Sciences 12 02 1-68 2022年07月13日

Conference Presentations

  • Level set method for the crystalline mean curvature flow with forcing(conference:Algorithmy 2024)(2024年03月24日)
  • A rate-independent model of droplet evolution(conference:Nonlinear analysis seminar)(2023年11月24日)
  • Forcing and volume constraint in the crystalline mean curvature flow(conference:Seminar on Partial Differential Equations)(2023年10月31日)
  • Continuum limit of dislocations with annihilation in one dimension(conference:Geometric PDEs and Applications )(2023年01月17日)
  • Crystalline mean curvature flow with a volume constraint(conference:Kyoto University, Dept. of Mathematics, Colloqium)(2021年07月07日)


  • Incompressible limit of the porous medium equation with a drift(2021年04月17日)
  • Forcing and volume constraint in the crystalline mean curvature flow(conference:2020 KMS Annual Meeting)(2020年10月24日)
  • Forcing in the crystalline mean curvature flow(conference:Surface and Interface Dynamics II)(2020年10月22日)
  • Self-similar solutions of the crystalline mean curvature flow(conference:Geometric Aspects of Solutions to Partial Differential Equations)(2019年06月12日)
  • Viscosity approach to the crystalline mean curvature flow and its applications(conference:Minisymposium "Singular parabolic equations and the motion of interfaces" at The 9th International Congress on Industrial and Applied Mathematics (ICIAM2019))(2019年07月19日)
  • Viscosity approach to the crystalline mean curvature flow(conference:Mini-symposium: Nonlinear Geometric Partial Differential Equations)(2020年02月06日)
  • Incompressible limit of the porous medium equation with a drift(conference:The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications)(2018年07月05日)
  • Viscosity solutions for the crystalline mean curvature flow(conference:BIRS Workshop 18w5033 - Advanced Developments for Surface and Interface Dynamics - Analysis and Computation)(2018年06月21日)
  • Large-time behavior of the anisotropic Stefan problem in nonuniform media(conference:The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications)(2018年07月09日)
  • A numerical level-set method for the Stefan problem with a crystalline Gibbs-Thomson law(2017年11月10日)
  • Singular limit of the porous medium equation with a drift(conference:Free Boundary Problems and Nonlinear PDEs)(2017年09月27日)
  • Crystalline curvature flow in three dimensions and the level set method(conference:界面現象の数理・モデリング研究合宿 2017)(2017年06月11日)
  • A level set approach to the crystalline mean curvature flow(conference:MSJ Spring Meeting 2017)(2017年03月26日)
  • A level set method for the crystalline mean curvature flow(conference:The 18th Northeastern Symposium on Mathematical Analysis)(2017年02月21日)
  • A level set method for the crystalline mean curvature flow(conference:Mathematical Aspects of Surface and Interface Dynamics 12)(2016年10月19日)
  • A level set approach to the crystalline mean curvature flow(conference:Anisotropy)(2016/09)
  • A level set approach to the crystalline mean curvature flow of surfaces(conference:AIMS conference)(2016/07)
  • Motion of surfaces by crystalline mean curvature: viscosity solutions approach(conference:Developments of the theory of evolution equations as applications of the analysis for nonlinear phenomena)(2015/10)
  • Motion of surfaces by crystalline mean curvature: viscosity solutions approach(conference:The 8th International Congress on Industrial and Applied Mathematics (ICIAM2015))(2015/08)
  • Homogenization of a Hele-Shaw-type problem in periodic spatiotemporal media(conference:Developments in the theory of Homogenization)(2015/07)
  • A viscosity approach to motion of surfaces by crystalline mean curvature(conference:Viscosity solutions and related topics)(2015年03月27日)
  • Homogenization of a Hele-Shaw-type problem in periodic spatiotemporal media(conference:Workshop on Free Boundaries in Laplacian Growth Phenomena and Related Topics)(2013年10月14日)
  • A viscosity approach to total variation flows of non-divergence type(conference:Czech-Japanese Seminar in Applied Mathematics 2013)(2013年09月07日)
  • Homogenization of a Hele-Shaw-type problem in periodic time-dependent media(2013年03月08日)
  • Homogenization of a Hele-Shaw-type problem in periodic time-dependent media(conference:Weak KAM Theory and Related Topics)(2013年01月15日)

Others

Arts and Fieldwork

Patent

Theme to the desired joint research

○しろまるDroplet dynamics
○しろまるProperties of the crystalline mean curvature flow
○しろまるAnalysis of free boundary problems

Grant-in-Aid for Scientific Research

○しろまる「Toward applications of the crystalline mean curvature flow」(2023-2025)
○しろまる「Development of Viscosity and Variational Techniques for the Analysis of Moving Interfaces」(2018-2022)
○しろまる2024「エネルギー勾配流の新潮流:数学理論が開く多様な現象と応用の世界」(2020-2024)
○しろまる「Viscosity methods in homogenization of nonlinear PDEs」(2014-2017)

Competitive research funding,Contribution

Collaborative research,Consignment study

Classes (Bachelors)

○しろまるProgramming for data science b(2022)
○しろまるComputational Science(2022)
○しろまるProgramming for data science a(2022)
○しろまるComputational Science(2021)
○しろまるIntroduction to Numerical Analysis 2b(2021)
○しろまるIntroduction to Numerical Analysis 2a(2021)
○しろまるIntroduction to Numerical Analysis 1a(2021)
○しろまるIntroduction to Numerical Analysis 1b(2021)
○しろまるSelected Topics(2021)
○しろまるSelected Topics(2021)
○しろまるIntroduction to Numerical Analysis 2b(2020)
○しろまるIntroduction to Numerical Analysis 2a(2020)
○しろまるSelected Topics(2020)
○しろまるSelected Topics(2020)
○しろまるComputational Science(2020)
○しろまるIntroduction to Numerical Analysis 2b(2019)
○しろまるComputational Science(2019)
○しろまるIntroduction to Numerical Analysis 2a(2019)
○しろまるMathematical Sciences 1(2019)
○しろまるMathematical Sciences 1(2018)
○しろまるCommunity learning "Super" Experience Program(2017)
○しろまるMathematical Sciences 1(2017)
○しろまるIntroduction to Numerical Analysis 1(2016)
○しろまるMathematical Sciences 1(2016)

Classes (Graduate Schools)

○しろまるSpecial topics in partial differential equations(2022)
○しろまるSpecial topics in partial differential equations(2022)
○しろまるBasics of Applied Analysis b(2022)
○しろまるBasics of Applied Analysis a(2022)
○しろまるTopics in Computational Science b(2022)
○しろまるTopics in Computational Science a(2022)
○しろまるBasics of Applied Analysis a(2021)
○しろまるBasics of Applied Analysis b(2021)
○しろまるSpecial topics in partial differential equations(2020)
○しろまるSpecial topics in partial differential equations(2020)
○しろまるSpecial topics in partial differential equations(2020)
○しろまるSpecial topics in partial differential equations(2020)
○しろまるScientific Presentation A(2020)
○しろまるScientific Presentation A(2020)
○しろまるBasics of Applied Analysis b(2020)
○しろまるBasics of Applied Analysis a(2020)
○しろまるSpecial Lectures on Computational Science(2020)
○しろまるSpecial topics in partial differential equations(2019)
○しろまるSpecial topics in partial differential equations(2019)
○しろまるScientific Presentation A(2019)
○しろまるSpecial topics in partial differential equations(2019)
○しろまるScientific Presentation A(2019)
○しろまるBasics of Applied Analysis b(2019)
○しろまるBasics of Applied Analysis a(2019)
○しろまるSpecial topics in partial differential equations(2019)
○しろまるTopics in Computational Science a(2018)
○しろまるLectures A for Foreign Students Ib(2018)
○しろまるBasics of Applied Analysis a(2018)
○しろまるLectures A for Foreign Students Ia(2018)
○しろまるSeminar A(2018)
○しろまるExercise A(2018)
○しろまるResearch Work A(2018)
○しろまるLectures A for Foreign Students IIa(2018)
○しろまるLectures A for Foreign Students IIb(2018)
○しろまるTopics in Computational Science b(2018)
○しろまるBasics of Applied Analysis b(2018)
○しろまるBasics of Applied Analysis a(2017)
○しろまるSeminar A(2017)
○しろまるLectures A for Foreign Students Ia(2017)
○しろまるLectures A for Foreign Students Ib(2017)
○しろまるResearch Work A(2017)
○しろまるLectures A for Foreign Students IIa(2017)
○しろまるLectures A for Foreign Students IIb(2017)
○しろまるTopics in Computational Science b(2017)
○しろまるBasics of Applied Analysis b(2017)
○しろまるTopics in Computational Science a(2017)
○しろまるExercise A(2017)
○しろまるBasics of Applied Analysis b(2016)
○しろまるTopics in Computational Science a(2016)
○しろまるTopics in Computational Science b(2016)
○しろまるLectures A for Foreign Students IIa(2016)
○しろまるAnalysis Ib(2016)
○しろまるBasics of Applied Analysis a(2016)
○しろまるLectures A for Foreign Students Ia(2016)
○しろまるLectures A for Foreign Students Ib(2016)
○しろまるLectures A for Foreign Students IIb(2016)

International Project

International Students

Lecture themes

Others (Social Activities)

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