Researcher Database

HAMAMUKI Nao
Faculty of Science Mathematics Mathematics
Associate Professor

Researcher Profile and Settings

Affiliation

  • Faculty of Science Mathematics Mathematics

Job Title

    Associate Professor

Research funding number

  • 70749754

Research Interests

  • Level set method   Nonlinear partial differential equations   Comparison principle   Hamilton-Jacobi equation   Viscosity solution   

Research Areas

  • Mathematics / Mathematical analysis / Nonlinear partial differential equations

Academic & Professional Experience

  • 2016/10 - Today    Hokkaido UniversityDepartment of MathematicsAssociate Professor
  • 2015/02 - 2016/09    Hokkaido UniversityDepartment of MathematicsAssistant Professor
  • 2014/04 - 2015/01    Waseda UniversityFaculty of Education and Integrated Arts and SciencesJSPS Research Fellowship PD
  • 2013/10 - 2014/03    The University of TokyoGraduate School of Mathematical SciencesJSPS Research Fellowship PD

Education

  • 2009/04 - 2013/09  The University of Tokyo  Graduate School of Mathematical Sciences

Association Memberships

  • THE MATHEMATICAL SOCIETY OF JAPAN   

Research Activities

Published Papers

  • On a dynamic boundary condition for singular degenerate parabolic equations in a half space
    Y. Giga, N. Hamamuki
    NoDEA Nonlinear Differential Equations Appl. 25 (6) 1 - 39 2018 [Refereed][Not invited]
     Research paper (scientific journal)
  • An improvement of level set equations via approximation of a distance function
    N. Hamamuki
    Appl. Anal. (published online) 2018 [Refereed][Not invited]
     Research paper (scientific journal)
  • Two approaches to an approximation of a distance function to moving interfaces
    N. Hamamuki
    Oberwolfach Rep. 14 (1) 297 - 299 2017 [Not refereed][Not invited]
     Research paper (international conference proceedings)
  • N. Hamamuki, E. Ntovoris
    Interfaces Free Bound. 18 (4) 579 - 621 2016 [Refereed][Not invited]
     Research paper (scientific journal)
  • N. Hamamuki
    J. Math. Anal. Appl. 438 (1) 184 - 199 2016 [Refereed][Not invited]
     Research paper (scientific journal)
  • An improved level set method for Hamilton-Jacobi equations
    N. Hamamuki
    RIMS Kokyuroku 1962 27 - 44 2015 [Not refereed][Not invited]
     Research paper (international conference proceedings)
  • N. Hamamuki, A. Nakayasu, T. Namba
    J. Differential Equations 259 (11) 6672 - 6693 2015 [Refereed][Not invited]
     Research paper (scientific journal)
  • Eikonal equations in metric spaces
    Y. Giga, N. Hamamuki, A. Nakayasu
    Trans. Amer. Math. Soc. 367 (1) 49 - 66 2015 [Refereed][Not invited]
     Research paper (scientific journal)
  • N. Hamamuki
    Discrete Comput. Geom. 52 (2) 221 - 239 2014 [Refereed][Not invited]
     Research paper (scientific journal)
  • Asymptotically self-similar solutions to curvature flow equations with prescribed contact angle and their applications to groove profiles due to evaporation-condensation
    N. Hamamuki
    Adv. Differential Equations 19 (3/4) 317 - 358 2014 [Refereed][Not invited]
     Research paper (scientific journal)
  • On large time behavior of Hamilton-Jacobi equations with discontinuous source terms
    N. Hamamuki
    GAKUTO Internat. Ser. Math. Sci. Appl. 36 83 - 112 2013 [Refereed][Not invited]
     Research paper (international conference proceedings)
  • Y. Giga, N. Hamamuki
    Comm. Partial Differential Equations 38 (2) 199 - 243 2013 [Refereed][Not invited]
     Research paper (scientific journal)

Conference Activities & Talks

  • On a dynamic boundary value problem of the level-set mean curvature flow equation  [Invited]
    HAMAMUKI Nao
    Advanced Developments for Surface and Interface Dynamics - Analysis and Computation  2018/06
  • On a dynamic boundary condition for singular degenerate parabolic equations in a half space  [Not invited]
    HAMAMUKI Nao
    日本数学会2018年度年会  2018/03
  • A discrete game interpretation for a dynamic boundary value problem of the mean curvature flow equation  [Invited]
    HAMAMUKI Nao
    京都大学NLPDEセミナー  2018/01
  • A discrete game interpretation for a dynamic boundary value problem of the mean curvature flow equation  [Invited]
    HAMAMUKI Nao
    偏微分方程式セミナー  2017/12
  • On a dynamic boundary condition for singular degenerate parabolic equations  [Invited]
    HAMAMUKI Nao
    解析セミナー  2017/12
  • On viscosity solutions in metric spaces  [Invited]
    HAMAMUKI Nao
    離散幾何構造セミナー  2017/12
  • 界面発展方程式の動的境界値問題について  [Invited]
    HAMAMUKI Nao
    応用数学に関する勉強会(応用数学セミナー)@芝浦工大  2017/11
  • 均質化問題と粘性解理論  [Invited]
    HAMAMUKI Nao
    日本応用数理学会2017年度年会  2017/09
  • On surface evolutions under some dynamic boundary conditions  [Invited]
    HAMAMUKI Nao
    Nonlinear PDE for Future Applications -Optimal Control and PDE-  2017/07
  • A comparison principle for singular degenerate parabolic equations under some dynamic boundary conditions  [Invited]
    HAMAMUKI Nao
    5th Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE's  2017/05
  • 不連続な加法的固有値問題に対する粘性解とその応用  [Invited]
    HAMAMUKI Nao
    金沢解析セミナー  2017/03
  • 粘性解に対する均質化問題ー不連続方程式への拡張とその応用ー  [Invited]
    HAMAMUKI Nao
    非線形現象の数値シミュレーションと解析2017  2017/03
  • Two approaches to an approximation of a distance function to moving interfaces  [Invited]
    HAMAMUKI Nao
    第18回北東数学解析研究会  2017/02
  • Two approaches to an approximation of a distance function to moving interfaces  [Invited]
    HAMAMUKI Nao
    Emerging Developments in Interfaces and Free Boundaries  2017/01
  • Harnack inequalities for supersolutions of fully nonlinear elliptic difference equations  [Invited]
    HAMAMUKI Nao
    Towards regularity  2016/09
  • On cell problems for Hamilton-Jacobi equations with non-coercive Hamiltonians and its application to homogenization problems  [Invited]
    HAMAMUKI Nao
    The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications  2016/07
  • A discrete isoperimetric inequality on lattices  [Invited]
    HAMAMUKI Nao
    Hamilton-Jacobi Equations:New trends and applications  2016/05

Awards & Honors

  • 2016/02   Inoue Foundation for Science    32nd Inoue Research Award for Young Scientists
      
    Winner: HAMAMUKI Nao
  • 2014/02   Japan Society for the Promotion of Science   4th Ikushi Prize
       Crystal Growth Phenomena and Hamilton-Jacobi Equations  
    Winner: HAMAMUKI Nao
  • 2013/09   Mathematical Society of Japan   Takebe Katahiro Prize for Encouragement of Young Researchers
       Mathematical analysis for Hamilton-Jacobi equations and its application to crystal growth phenomena  
    Winner: HAMAMUKI Nao

Research Grants & Projects

  • 特異構造を持つ界面発展方程式と境界値問題
    Japan Society for the Promotion of Science:Grant-in-Aid for Early-Career Scientists
    Date (from‐to) : 2019/04 -2023/03 
    Author : HAMAMUKI Nao
  • Analysis of boundary value problems for fully nonlinear partial differential equations and its applications
    Inamori Foundation:Research Grants
    Date (from‐to) : 2018/04 -2019/03 
    Author : HAMAMUKI Nao
  • 離散と連続をつなぐ粘性解理論の構築
    Japan Society for the Promotion of Science:Grant-in-Aid for Young Scientists (B)
    Date (from‐to) : 2016/04 -2019/03 
    Author : HAMAMUKI Nao
  • 界面ダイナミクスの数学解析に向けた粘性解理論の深化
    The Sumitomo Foundation:Grant for Basic Science Research Projects
    Date (from‐to) : 2015/11 -2016/10 
    Author : HAMAMUKI Nao
  • 粘性解理論とその材料科学分野への応用
    Japan Society for the Promotion of Science:Grant-in-Aid for JSPS Research Fellow PD
    Date (from‐to) : 2014/04 -2015/01 
    Author : HAMAMUKI Nao
  • 結晶成長現象とハミルトン・ヤコビ方程式
    Japan Society for the Promotion of Science:Grant-in-Aid for JSPS Research Fellow DC1
    Date (from‐to) : 2011/04 -2014/03 
    Author : HAMAMUKI Nao

Educational Activities

Teaching Experience

  • Analytic Studies
    開講年度 : 2017
    課程区分 : 修士課程
    開講学部 : 理学院
    キーワード : バナッハ空間, 有界線形作用素,一様有界性の原理,開写像定理,閉グラフ定理,共役空間,弱位相,汎弱位相,連続線形汎関数,ハーン・バナッハの定理
  • Introduction to Mathematics
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 全学教育
    キーワード : 数列,級数,収束,ε‐N論法,テイラー展開
  • Advanced Mathematical Analysis
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 理学部
    キーワード : バナッハ空間, 有界線形作用素,一様有界性の原理,開写像定理,閉グラフ定理,共役空間,弱位相,汎弱位相,連続線形汎関数,ハーン・バナッハの定理
  • Calculus I
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 全学教育
    キーワード : 数列, 収束, 関数, 極限, 微分, 偏微分, テイラ-の定理
  • Calculus II
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 全学教育
    キーワード : 原始関数, 積分, 重積分, リ-マン和, 変数変換


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