About me
About me
Tokuhiro ETO has been studying geometric evolution equations using both analytical and numerical methods. In particular, he has focused on contact angle problems for the mean curvature flow equation and the Mullins-Sekerka problem. He is also involved in using deep learning techniques to solve these free boundary problems.
French National Centre for Scientific Research – Lyon / Villeurbanne, France
Graduate School of Mathematical Sciences, The University of Tokyo – Tokyo, Japan
The University of Tokyo – Tokyo, Japan Apr 2021 – Mar 2024
The University of Tokyo – Tokyo, Japan Apr 2006 – Mar 2008
Tokyo University of Science – Tokyo, Japan Apr 2002 – Mar 2006
Institut Camille Jordan, Université Claude Bernard Lyon 1, Mar 2025 – present
University of Regensburg, Apr 2023 – Jun 2023
Interfaces: Modeling, Analysis, Numerics, 20-26th Nov 2022
Bulletin of the Japan Society for Industrial and Applied Mathematics. Apr 2024 – Present
Python / Julia / Java
Eto, T., Garcke, H., Nürnberg, R., Stability and Volume Conservation in the Multi-Phase Mullins-Sekerka Problem: A Finite Element Perspective, Czech-Japanese Seminar in Applied Mathematics, Technical university of Liberec, Czechia, 25-29th Aug 2025.
Eto, T., Giga, Y., On existence and uniqueness for transport equations with non-smooth velocity fields under inhomogeneous Dirichlet data, The 26th Northeastern Symposium on Mathematical Analysis, Poster session, Tohoku University, 17-18th Feb 2025.
Eto, T., Giga, Y., Mean Curvature Flow with Contact Angles: Convergence of the Level Set Formulation to Viscosity Solutions, Kyoto University NLPDE Seminar, invited, Kyoto University, 20th Dec 2024.
Eto, T., Introduction to Viscosity Solution Theory and Its Applicability to Anisotropic Diffusion Problems, Structure-Preserving Numerical Method for Anisotropic Diffusion Problems in Rarefied Plasmas | 2024a040, invited, Kyushu University, 29-31st Oct 2024.
Eto, T., Garcke, H., Nürnberg, R., A structure-preserving finite element method for the multi-phase Mullins-Sekerka problem with triple junctions, Annual Meeting in 2024, The Japan Society for Industrial and Applied Mathematics, Kyoto University, 14-16th Sep 2024.
Eto, T., Giga, Y., A convergence result for a minimizing movement scheme for mean curvature flow with prescribed contact angle in a curved domain, MSJ Autumn Meeting 2024, Osaka University, 3-7th Sep 2024.
Eto, T., Giga, Y., A Minimizing Movement Scheme for Mean Curvature Flow: Addressing Contact Angles in Regular Domains, The 49th Sapporo Symposium on Partial Differential Equations, invited, Hokkaido University, Japan, 19-21st Aug 2024.
Eto, T., Garcke, H., Nürnberg, R., Stability and Volume Conservation in the Multi-Phase Mullins-Sekerka Problem: A Finite Element Perspective, International Conference on Scientific Computation and Differential Equations 2024, invited, National University of Singapore, Singapore, 15-19th Jul 2024.
Eto, T., Numerical computation for geometric evolution equations using deep learning, The 81st Fujihara Seminar, Mathematical Aspects for Interfaces and Free Boundaries | 2024, invited, Hilton Niseko Village, Japan, 2-7th Jun 2024.
Eto, T., Garcke, H., Nürnberg, R., A structure-preserving finite element method for the multi-phase Mullins-Sekerka problem with triple junctions, MSJ Spring Meeting 2024, Osaka Metropolitan University, 17-20th Mar 2024.
Eto, T., Giga, Y., On a minimizing movement scheme for mean curvature flow with prescribed contact angle condition in a curved domain, The 25th Northeastern Symposium on Mathematical Analysis, Poster session, Hokkaido University, 19-20th Feb 2024.
Eto, T, Numerical computation for surface evolution equations using deep learning, A New Era in Mathematical Science: The Synergy of Numerical Analysis and Machine Learning｜2023a014, invited, Kyushu University, 2-3rd Nov 2023.
Eto, T., Giga, Y., On a minimizing movement scheme for mean curvature flow with prescribed contact angle in a curved domain and its computation, MSJ Autumn Meeting 2023, Tohoku University, 20-23rd Sep 2023.
Eto, T., Giga, Y., Minimizing movement for mean curvature flow with prescribed contact angle in curved domain, International Council for Industrial and Applied Mathematics 2023, Waseda University, Poster session, 20-25th Aug 2023.
Eto, T, On a discrete scheme for the Mullins-Sekerka flow and its fine properties, The 38th Saitama Seminar on Mathematical Analysis, invited, Omiya Sonic City, 20th Feb 2023.
Eto, T., On a discrete scheme for the Mullins-Sekerka flow and its fine properties, Interfaces: Modeling, Analysis, Numerics, Oberwolfach seminar, invited, Mathematisches Forschungsinstitut Oberwolfach, 20-26th Nov 2022.
Eto, T., On a discrete scheme for the Mullins-Sekerka flow and its fine properties, MSJ Autumn Meeting 2022, Hokkaido University, 13-16th Sep 2022.
Eto, T., On a discrete scheme for the Mullins-Sekerka flow and its fine properties, Annual Meeting in 2022, The Japan Society for Industrial and Applied Mathematics, Hokkaido University, 8-10th Sep 2022.
Eto, T., On a Discrete Scheme for the Mullins-Sekerka Equation and Its Fine Properties, SIAM Conference on Analysis of Partial Differential Equations (PD22), Poster session, happening virtually, Mar 2022.
Eto, T., On a length minimizing scheme for the curve shortening problem, The 9th Northeastern Symposium on Mathematical Analysis, Poster session, Hokkaido University, 21-22th Feb 2008.
Phase Transitions and Turbulence including Fluids, Oberwolfach seminar, Mathematisches Forschungsinstitut Oberwolfach, Germany, 19-24th Oct 2025.
Mathematical Model and Numerical Methods for Understanding Instability Phenomena in Rarefied Plasmas｜2025a046, Kyushu University, Japan, 18-20th Nov 2025.