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Researcher Information

last modified:2020/01/22

Associate Professor POZAR Norbert

Mail Laboratory Website

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


Academic Background

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


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

Year & Month of Birth

Academic Society



Mathematical analysis

Speciality Keywords

nonlinear partial differential equations · free boundary problems · homogenization · viscosity solutions · crystal growth · phase transitions · mathematical modeling

Research Themes



  •  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 2018/04/10
  •  Porous medium equation to Hele-Shaw flow with general initial density  Inwon Kim, Norbert Pozar   Trans. Amer. Math. Soc. 370 2 873-909 2017/10/05
  •  Viscosity solutions for the level set formulation of the crystalline mean curvature flow Norbert Pozar RIMS Kôkyûroku 1997 16-31 2016/07

show all

  •  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

Conference Presentations

  • Incompressible limit of the porous medium equation with a drift(conference:The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications)(2018/07/05)
  • Viscosity solutions for the crystalline mean curvature flow(conference:BIRS Workshop 18w5033 - Advanced Developments for Surface and Interface Dynamics - Analysis and Computation)(2018/06/21)
  • Large-time behavior of the anisotropic Stefan problem in nonuniform media(conference:The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications)(2018/07/09)

Arts and Fieldwork


Theme to the desired joint research

Grant-in-Aid for Scientific Research

○「Development of Viscosity and Variational Techniques for the Analysis of Moving Interfaces」(2018-2021) 
○「Viscosity methods in homogenization of nonlinear PDEs」(2014-2017) 

Classes (Bachelors)

○Mathematical Sciences 1(2018)
○Mathematical Sciences 1(2017)
○Mathematical Sciences 1(2016)
○Introduction to Numerical Analysis 1(2016)

Classes (Graduate Schools)

○Basics of Applied Analysis a(2018)
○Basics of Applied Analysis b(2018)
○Basics of Applied Analysis a(2017)
○Lectures A for Foreign Students Ia(2017)
○Lectures A for Foreign Students Ib(2017)
○Exercise A(2017)
○Research Work A(2017)
○Lectures A for Foreign Students IIb(2017)
○Topics in Computational Science b(2017)
○Lectures A for Foreign Students IIa(2017)
○Basics of Applied Analysis b(2017)
○Topics in Computational Science a(2017)
○Seminar A(2017)
○Lectures A for Foreign Students IIa(2016)
○Analysis Ib(2016)
○Basics of Applied Analysis a(2016)
○Lectures A for Foreign Students Ia(2016)
○Lectures A for Foreign Students Ib(2016)
○Basics of Applied Analysis b(2016)
○Lectures A for Foreign Students IIb(2016)
○Topics in Computational Science b(2016)
○Topics in Computational Science a(2016)

International Project

International Students

Lecture themes

Others (Social Activities)

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