Tonegawa Tonegawa

トネガワヨシヒロ | Tonegawa Tonegawa

Affiliation and department：
Job title： Professor

Research field (3)： Mathematical analysis , Geometry , Basic analysis

Research keywords (30)： m調和写像 , 特異性 , 正則性 , 微分幾何 , 調和写像 , 自由境界問題 , Phase field model , 正則性理論 , 表面張力 , varifold , mean curvature , 曲率 , 確率偏微分方程式 , 非等方的 , 変分法 , Cahn-Hilliard equation , singular perturbation , 平均曲率 , 曲率流 , 非線形偏微分方程式 , Allen-Cahn方程式 , Cahn-Hilliard方程式 , 幾何学的測度論 , フェイズフィールド法 , 粘性解 , フェーズフィールドモデル , 極小曲面 , 特異摂動 , 相分離 , 変分問題

Research theme for competitive and other funds (39)：

2023 - 2028 Canonical mean curvature flow and its application to evolution problems
2019 - 2024 Analysis on nonlinear diffusion and dynamic singular structure
2018 - 2023 Multifaceted studies on dynamical problems in the calculus of variations using geometric measure theory
2017 - 2021 複雑領域のポテンシャル解析の深化-非線形PDEと理想境界への応用
2014 - 2019 Advanced Analysis on Evolving Patterns in Nonlinear Phenomena Driven by Singular Structure

2014 - 2018 Geometric studies on singularity of non-linear phenomena

2013 - 2018 Variational analysis on dynamic geometric problems

2013 - 2017 Potential theory on space complexity and ideal boundary

2014 - 2016 A research on uniformed mathematical model for inhomogeneous interface of reactive, two-phase or shock wave flows

2013 - 2016 Singular domain deformation and analysis on elliptic operators in elasticity and electromagnetism

2009 - 2015 Development of Analysis on Evolving Pattern for Complicated Phenomena

2010 - 2014 A research on the geometric singularities of non-linear phenomena

2011 - 2013 Applications of current-varifold pair to variational method

2009 - 2012 Development of mathematical analysis via phase field method

2008 - 2012 Research on potential problems from various aspects

2009 - 2011 A regularity criterion for the harmonic map flows and asymptotic analysis for singularity

2009 - 2011 Conformal Geometry, and Geometry of Einstein Metrics and Exotic Differentiable Structures

2007 - 2010 New development of the qualitative theory of nonlinear parabolic and elliptic equations

2007 - 2009 Reconstruction schemes for inverse problems identifying unknown oefficients and boundaries for partial differential equations

2006 - 2009 Differential Geometry and Partial Differential Equations as an application of Singularity theory

2006 - 2009 Structures created and preserved in nonlinear diffusion field

2007 - 2008 Mathematical research on regularity and singularity for the m-harmonic map flows and energy quantization phenomenon

2007 - 2008 Study of Conformal Geometry from the Viewpoint of Topology and Analysis

2005 - 2008 Surface tension and its interaction for non-equilibrium surface phenomena

2005 - 2006 Study on Regularity and Singularity of a weak solution to the m-harmonic maps and the evolution

2004 - 2005 物質の磨耗現象の数理

2004 - 2005 Study of Conformal Geometry and Group C^*-bundle from the Viewpoint of Global Analysis

2002 - 2005 Mathematical Analysis on Change of Patterns by Anisotropy and Diffusion

2003 - 2004 距離関数の特異性とその蛋白質立体構造解析への応用

2003 - 2004 Study on Regularity and Singularity of Minimal Surfaces in Higher Dimensions and The Evolution

2002 - 2004 結晶成長現象における幾何測度論的な数理解析

2002 - 2004 Inverse Problems for the Family of Wave Equations

2001 - 2003 GEOMETRY AND ANALYSIS FOR WAVE FIELDS

2001 - 2002 Analysis of partial differential equations arising in Material Science

2001 - 2002 Search for an approach to general critical points of variational problems materials science

2000 - 2001 相分離界面への幾何測度論の応用

1999 - 2001 Morse theory of variational problems

1998 - 1998 流体方程式の数学理論

1997 - 1998 RIGIDITY OF GROUP ACTIONS

Show all

Papers (5)：

Yoshihiro Tonegawa, Neshan Wickramasekera. The Blow Up Method for Brakke Flows: Networks Near Triple Junctions. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. 2016. 221. 3. 1161-1222
Masashi Mizuno, Yoshihiro Tonegawa. CONVERGENCE OF THE ALLEN-CAHN EQUATION WITH NEUMANN BOUNDARY CONDITIONS (vol 47, pg 1906, 2015). SIAM JOURNAL ON MATHEMATICAL ANALYSIS. 2016. 48. 4. 3035-3036
Masashi Mizuno, Yoshihiro Tonegawa. CONVERGENCE OF THE ALLEN-CAHN EQUATION WITH NEUMANN BOUNDARY CONDITIONS. SIAM JOURNAL ON MATHEMATICAL ANALYSIS. 2015. 47. 3. 1906-1932
Kota Kasai, Yoshihiro Tonegawa. A general regularity theory for weak mean curvature flow. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. 2014. 50. 1-2. 1-68
Yuko Nagase, Yoshihiro Tonegawa. Interior gradient estimate for 1-D anisotropic curvature flow. Boletim da Sociedade Paranaense de Matematica. 2005. 23. 1-2. 93-98

MISC (19)：

Mizuno Masashi, Tonegawa Yoshihiro. CONVERGENCE OF THE ALLEN-CAHN EQUATION WITH NEUMANN BOUNDARY CONDITIONS (Regularity and Singularity for Partial Differential Equations with Conservation Laws). RIMS Kokyuroku. 2015. 1962. 10-16
Yoshihiro Tonegawa. A second derivative Holder estimate for weak mean curvature flow. 2012
水野将司, 利根川吉廣. Allen-Cahn方程式の特異極限問題に対する境界単調性公式. 日本大学理工学部学術講演会予稿集(CD-ROM). 2012. 56th. ROMBUNNO.P-12
Tonegawa Yoshihiro. A new two-phase fluid problem with surface energy (Progress in Variational Problems : New Trends of Geometric Gradient Flow and Critical Point Theory). RIMS Kokyuroku. 2011. 1740. 0. 74-88
TONEGAWA YOSHIHIRO. ON THE TIME-GLOBAL EXISTENCE FOR NON-NEWTONIAN TOW-PHASE FLOW WITH DIFFERENT DENSITIES (Mathematical Analysis in Fluid and Gas Dynamics). RIMS Kokyuroku. 2011. 1730. 0. 138-146

ｍore...

Professional career (1)：

Ph.D. (New York University)

Work history (1)：

2010 - 2012 Hokkaido University

※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

Return to Previous Page