POZAR Norbert ＰＯＺＡＲＮｏｒｂｅｒｔ

… Alternative Names

Pozar Norbert POZAR Norbert

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Researcher Number	00646523
Other IDs
Affiliation (Current)	2025: 金沢大学, 数物科学系, 准教授
Affiliation (based on the past Project Information) *help	2018 – 2023: 金沢大学, 数物科学系, 准教授 2014 – 2017: 金沢大学, 数物科学系, 助教
Review Section/Research Field	Principal Investigator Basic Section 12040:Applied mathematics and statistics-related / Basic Section 12020:Mathematical analysis-related / Mathematical analysis Except Principal Investigator Medium-sized Section 12:Analysis, applied mathematics, and related fields
Keywords	Principal Investigator crystalline curvature / free boundary / Stefan problem / Hele-Shaw problem / viscosity solutions / crystal growth / viscosity solution / numerical method / mesh refinement / adaptive mesh refinement … More / self-similar solutions / facet breaking / volume constraint / interacting particles / many particle limit / comparison principle / annihilation / mean curvature / generized solutions / random media / free boundary problems / porous medium equation / phase transitions / homogenization … More Except Principal Investigator 数理モデリング / 転位ダイナミクス / 形状最適化 / 亀裂進展 / フェーズ・フィールド・モデル / 粒子系 / ODENet / 移動境界問題 / 混相流 / 変分法 / 勾配流 Less

Toward applications of the crystalline mean curvature flowPrincipal Investigator
- Principal Investigator
  
  POZAR Norbert
- Project Period (FY)
  2023 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Kanazawa University
New trends of energy gradient flow: mathematical aspects and various phenomena and applications
- Principal Investigator
  
  木村正人
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Kanazawa University
Development of Viscosity and Variational Techniques for the Analysis of Moving InterfacesPrincipal Investigator
- Principal Investigator
  
  Pozar Norbert
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Kanazawa University
Viscosity methods in homogenization of nonlinear PDEsPrincipal Investigator
- Principal Investigator
  
  Pozar Norbert
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Kanazawa University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014

All Journal Article Presentation

[Journal Article] Discrete-to-Continuum Convergence of Charged Particles in 1D with Annihilation2022
- Author(s)
  van Meurs Patrick、Peletier Mark A.、Pozar Norbert
- Journal Title
  
  Archive for Rational Mechanics and Analysis
  
  Volume: 246 Issue: 1 Pages: 241-297
- DOI
  10.1007/s00205-022-01812-1
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14358, KAKENHI-PROJECT-20KK0058, KAKENHI-PROJECT-18K13440
[Journal Article] Motion by crystalline-like mean curvature: A survey2022
- Author(s)
  Giga Yoshikazu、Pozar Norbert
- Journal Title
  
  Bulletin of Mathematical Sciences
  
  Volume: 12 Issue: 02 Pages: 1-68
- DOI
  10.1142/s1664360722300043
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K20342, KAKENHI-PROJECT-20KK0058, KAKENHI-PROJECT-18K13440, KAKENHI-PROJECT-17H01091, KAKENHI-PROJECT-19H00639
[Journal Article] On volume-preserving crystalline mean curvature flow2021
- Author(s)
  Kim Inwon、Kwon Dohyun、Pozar Norbert
- Journal Title
  
  Mathematische Annalen
  
  Volume: online Issue: 1-2 Pages: 1-42
- DOI
  10.1007/s00208-021-02286-4
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13440
[Journal Article] Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term2020
- Author(s)
  Y. Giga and N. Pozar
- Journal Title
  
  SN Partial Differ. Equ. Appl.
  
  Volume: 1 Issue: 6 Pages: 1-26
- DOI
  10.1007/s42985-020-00040-0
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K20342, KAKENHI-PROJECT-18K13440
[Journal Article] Singular limit of the porous medium equation with a drift2019
- Author(s)
  Kim, I., Pozar, N., Woodhouse, B.
- Journal Title
  
  Advances in Mathematics
  
  Volume: 349 Pages: 682-732
- DOI
  10.1016/j.aim.2019.04.017
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13440
[Journal Article] An efficient numerical method for estimating the average free boundary velocity in an inhomogeneous Hele-Shaw problem2019
- Author(s)
  Palupi, I., Pozar, N.
- Journal Title
  
  The Science Reports of Kanazawa University
  
  Volume: 62
- NAID
  120006629672
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K13440
[Journal Article] Approximation of General Facets by Regular Facets with Respect to Anisotropic Total Variation Energies and Its Application to Crystalline Mean Curvature Flow2018
- Author(s)
  Giga Yoshikazu、Pozar Norbert
- Journal Title
  
  Communications on Pure and Applied Mathematics
  
  Volume: 印刷中 Issue: 7 Pages: 1461-1491
- DOI
  10.1002/cpa.21752
- NAID
  120006459789
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800068, KAKENHI-PROJECT-16H03948
[Journal Article] Singular limit of the porous medium equation with a drift2018
- Author(s)
  Kim Inwon Christina, Pozar Norbert, Woodhouse Brent
- Journal Title
  
  Advances in Mathematics
  
  Volume: 印刷中
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800068
[Journal Article] Long-time behavior of the one-phase Stefan problem in periodic and random media2018
- Author(s)
  Pozar Norbert, Vu Giang Thi Thu
- Journal Title
  
  Discrete and Continuous Dynamical Systems, Series S
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800068
[Journal Article] An efficient numerical method for estimating the average free boundary velocity in an inhomogeneous Hele-Shaw problem2018
- Author(s)
  Irma Palupi, Norbert Pozar
- Journal Title
  
  Sci. Rep. Kanazawa Univ.
  
  Volume: 62 Pages: 69-86
- NAID
  120006629672
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K13440
[Journal Article] Porous medium equation to Hele-Shaw flow with general initial density2017
- Author(s)
  Kim Inwon、Pozar Norbert
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 370 Issue: 2 Pages: 873-909
- DOI
  10.1090/tran/6969
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800068
[Journal Article] Viscosity solutions for the level set formulation of the crystalline mean curvature flow2016
- Author(s)
  Norbert Pozar
- Journal Title
  
  RIMS 講究録
  
  Volume: 1997 Pages: 16-31
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800068
[Journal Article] A level set crystalline mean curvature flow of surfaces2016
- Author(s)
  Yoshikazu Giga, Norbert Pozar
- Journal Title
  
  Advances in Differential Equations
  
  Volume: 21 Pages: 631-698
- NAID
  120006459776
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800068
[Journal Article] Homogenization of the Hele-Shaw problem in periodic spatiotemporal media2015
- Author(s)
  Norbert Pozar
- Journal Title
  
  Arch. Rational Mech. Anal.
  
  Volume: 217 Issue: 1 Pages: 155-230
- DOI
  10.1007/s00205-014-0831-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] Level set method for the crystalline mean curvature flow with forcing2024
- Author(s)
  Norbert Pozar
- Organizer
  Algorithmy 2024, Slovakia
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03212
[Presentation] Continuum limit of dislocations with annihilation in one dimension2023
- Author(s)
  Pozar Norbert
- Organizer
  Geometric PDEs and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13440
[Presentation] Forcing and volume constraint in the crystalline mean curvature flow2023
- Author(s)
  Norbert Pozar
- Organizer
  Seminar on Partial Differential Equations, Czech Academy of Sciences (Prague)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03212
[Presentation] A rate-independent model of droplet evolution2023
- Author(s)
  Norbert Pozar
- Organizer
  非線形解析セミナー, Keio University
- Invited
- Data Source
  KAKENHI-PROJECT-23K03212
[Presentation] Crystalline mean curvature flow with a volume constraint2021
- Author(s)
  Pozar Norbert
- Organizer
  京都大学大学院理学研究科談話会
- Invited
- Data Source
  KAKENHI-PROJECT-18K13440
[Presentation] Incompressible limit of the porous medium equation with a drift2021
- Author(s)
  Pozar Norbert
- Organizer
  南大阪応用数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K13440
[Presentation] Forcing in the crystalline mean curvature flow2020
- Author(s)
  Norbert Pozar
- Organizer
  Surface and Interface Dynamics II
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13440
[Presentation] Forcing and volume constraint in the crystalline mean curvature flow2020
- Author(s)
  Norbert Pozar
- Organizer
  大岡山談話会
- Invited
- Data Source
  KAKENHI-PROJECT-18K13440
[Presentation] Forcing and volume constraint in the crystalline mean curvature flow2020
- Author(s)
  Norbert Pozar
- Organizer
  2020 KMS Annual Meeting
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13440
[Presentation] Viscosity approach to the crystalline mean curvature flow2020
- Author(s)
  Norbert Pozar
- Organizer
  Mini-symposium: Nonlinear Geometric Partial Differential Equations (OIST)
- Invited
- Data Source
  KAKENHI-PROJECT-18K13440
[Presentation] Viscosity approach to the crystalline mean curvature flow and the crystalline algorithm2019
- Author(s)
  Norbert Pozar
- Organizer
  Kyushu Functional Equation Seminar
- Invited
- Data Source
  KAKENHI-PROJECT-18K13440
[Presentation] Viscosity approach to the crystalline mean curvature flow and its applications2019
- Author(s)
  Norbert Pozar
- Organizer
  ICIAM2019
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13440
[Presentation] Self-similar solutions of the crystalline mean curvature flow2019
- Author(s)
  Norbert Pozar
- Organizer
  Geometric Aspects of Solutions to Partial Differential Equations (RIMS)
- Invited
- Data Source
  KAKENHI-PROJECT-18K13440
[Presentation] Incompressible limit of the porous medium equation with a drift2018
- Author(s)
  Norbert Pozar
- Organizer
  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13440
[Presentation] Large-time behavior of the anisotropic Stefan problem in nonuniform media2018
- Author(s)
  Norbert Pozar
- Organizer
  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13440
[Presentation] Incompressible limit of the porous medium equation with a drift2018
- Author(s)
  Pozar Norbert
- Organizer
  AIMS 2018, Taipei, Taiwan
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] Viscosity solutions for the crystalline mean curvature flow2018
- Author(s)
  Norbert Pozar
- Organizer
  BIRS Workshop 18w5033 - Advanced Developments for Surface and Interface Dynamics - Analysis and Computation
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13440
[Presentation] Large-time behavior of the anisotropic Stefan problem in nonuniform media2018
- Author(s)
  Pozar Norbert
- Organizer
  AIMS 2018, Taipei, Taiwan
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] Incompressible limit of the porous medium equation with a drift2017
- Author(s)
  Pozar Norbert
- Organizer
  KUAMS seminar, Kyoto University
- Invited
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] Viscosity solutions for the crystalline mean curvature flow2017
- Author(s)
  Pozar Norbert
- Organizer
  CAMP seminar, University of Chicago, USA
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] Singular limit of the porous medium equation with a drift2017
- Author(s)
  Pozar Norbert
- Organizer
  Free Boundary Problems and Nonlinear PDEs, Sapporo
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] A level set method for the crystalline mean curvature flow2017
- Author(s)
  Norbert Pozar
- Organizer
  The 18th Northeastern Symposium on Mathematical Analysis
- Place of Presentation
  Tohoku University, Sendai
- Invited
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] Crystalline curvature flow in three dimensions and the level set method2017
- Author(s)
  Pozar Norbert
- Organizer
  界面現象の数理・モデリング研究合宿 2017, Karuizawa
- Invited
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] A level set approach to the crystalline mean curvature flow2017
- Author(s)
  Norbert Pozar
- Organizer
  2017 MSJ Annual meeting
- Place of Presentation
  Tokyo Metropolitan University, Tokyo
- Invited
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] Viscosity solutions for the crystalline mean curvature flow2017
- Author(s)
  Pozar Norbert
- Organizer
  Geometry and PDE seminar, University of Wisconsin, Madison, USA
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] A numerical level-set method for the Stefan problem with a crystalline Gibbs-Thomson law2017
- Author(s)
  Pozar Norbert
- Organizer
  数値解析学の最前線 ---理論・方法・応用---, RIMS, Kyoto
- Invited
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] A level set approach to the crystalline mean curvature flow2016
- Author(s)
  Norbert Pozar
- Organizer
  Participating analysis seminar
- Place of Presentation
  UCLA, Los Angeles, USA
- Invited
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] A level set approach to the crystalline mean curvature flow of surfaces2016
- Author(s)
  Norbert Pozar
- Organizer
  The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Orlando, Florida, USA
- Year and Date
  2016-07-01
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] A level set approach to the crystalline mean curvature flow of surfaces2016
- Author(s)
  Norbert Pozar
- Organizer
  The 11th AIMS conference
- Place of Presentation
  Orlando, Florida, USA
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] A level set approach to the crystalline mean curvature flow2016
- Author(s)
  Norbert Pozar
- Organizer
  International conference on PDE "Towards regularity"
- Place of Presentation
  Warsaw, Poland
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] A level set method for the crystalline mean curvature flow2016
- Author(s)
  Norbert Pozar
- Organizer
  Mathematical Aspects of Surface and Interface Dynamics 12
- Place of Presentation
  University of Tokyo, Tokyo
- Invited
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] Convergence of the porous medium equation to the Hele-Shaw problem2016
- Author(s)
  Norbert Pozar
- Organizer
  Seminar
- Place of Presentation
  Keio Univ, Yokohama
- Invited
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] A viscosity approach to motion of surfaces by crystalline mean curvature2015
- Author(s)
  Norbert Pozar
- Organizer
  Viscosity solutions and related topics
- Place of Presentation
  Waseda University, Tokyo
- Year and Date
  2015-03-27
- Invited
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] Motion of surfaces by crystalline mean curvature: viscosity solutions approach2015
- Author(s)
  Norbert Pozar
- Organizer
  ICIAM2015
- Place of Presentation
  Beijing, China
- Year and Date
  2015-08-10
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] Motion of surfaces by crystalline mean curvature: viscosity solutions approach2015
- Author(s)
  Norbert Pozar
- Organizer
  RIMS Symposium on Developments of the theory of evolution equations as applications of the analysis for nonlinear phenomena
- Place of Presentation
  Kyoto
- Year and Date
  2015-10-21
- Invited
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] Homogenization of a Hele-Shaw-type problem in periodic spatiotemporal media2015
- Author(s)
  Norbert Pozar
- Organizer
  BIRS Workshop Developments in the Theory of Homogenization
- Place of Presentation
  Banff, Canada
- Year and Date
  2015-07-28
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] Homogenization of a Hele-Shaw-type problem in periodic spatiotemporal media2014
- Author(s)
  Norbert Pozar
- Organizer
  HMMC seminar
- Place of Presentation
  Hokkaido University, Sapporo
- Year and Date
  2014-10-03
- Invited
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] Homogenization of a Hele-Shaw-type problem in periodic spatiotemporal media2014
- Author(s)
  Norbert Pozar
- Organizer
  HMA seminar
- Place of Presentation
  Hiroshima university, Hiroshima
- Year and Date
  2014-05-16
- Invited
- Data Source
  KAKENHI-PROJECT-26800068
[Presentation] Homogenization of a Hele-Shaw-type problem in periodic spatiotemporal media2014
- Author(s)
  Norbert Pozar
- Organizer
  Seminar
- Place of Presentation
  Waseda University, Tokyo
- Year and Date
  2014-12-05
- Invited
- Data Source
  KAKENHI-PROJECT-26800068

1. 木村正人 (70263358)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. 大塚浩史 (20342470)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 野津裕史 (00588783)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. VANMEURS PATRICK (20815378)

# of Collaborated Projects: 1 results

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5. 儀我美一

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# of Collaborated Products: 2 results

POZAR Norbert ＰＯＺＡＲ Ｎｏｒｂｅｒｔ

Pozar Norbert POZAR Norbert

Research Projects

Research Products

Co-Researchers

Toward applications of the crystalline mean curvature flowPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

New trends of energy gradient flow: mathematical aspects and various phenomena and applications

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Development of Viscosity and Variational Techniques for the Analysis of Moving InterfacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Viscosity methods in homogenization of nonlinear PDEsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Discrete-to-Continuum Convergence of Charged Particles in 1D with Annihilation2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Motion by crystalline-like mean curvature: A survey2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On volume-preserving crystalline mean curvature flow2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Singular limit of the porous medium equation with a drift2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] An efficient numerical method for estimating the average free boundary velocity in an inhomogeneous Hele-Shaw problem2019

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Approximation of General Facets by Regular Facets with Respect to Anisotropic Total Variation Energies and Its Application to Crystalline Mean Curvature Flow2018

Author(s)

Journal Title

DOI

NAID

Data Source

[Journal Article] Singular limit of the porous medium equation with a drift2018

Author(s)

Journal Title

Data Source

[Journal Article] Long-time behavior of the one-phase Stefan problem in periodic and random media2018

Author(s)

Journal Title

Data Source

[Journal Article] An efficient numerical method for estimating the average free boundary velocity in an inhomogeneous Hele-Shaw problem2018

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Porous medium equation to Hele-Shaw flow with general initial density2017

Author(s)

POZAR Norbert ＰＯＺＡＲＮｏｒｂｅｒｔ