Convergence of the Allen--Cahn Equation with Neumann Boundary Conditions M Mizuno, Y Tonegawa SIAM Journal on Mathematical Analysis 47 (3), 1906-1932, 2015 | 62 | 2015 |
Motion of grain boundaries with dynamic lattice misorientations and with triple junctions drag Y Epshteyn, C Liu, M Mizuno SIAM Journal on Mathematical Analysis 53 (3), 3072-3097, 2021 | 26 | 2021 |
Large time asymptotic behavior of grain boundaries motion with dynamic lattice misorientations and with triple junctions drag Y Epshteyn, C Liu, M Mizuno Communications in Mathematical Sciences 19 (5), 1403-1428, 2021 | 15 | 2021 |
Hölder estimates for solutions of the Cauchy problem for the porous medium equation with external forces M Mizuno manuscripta mathematica 141, 273-313, 2013 | 7 | 2013 |
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective Y Epshteyn, C Liu, M Mizuno Mathematical Models and Methods in Applied Sciences 32 (11), 2189-2236, 2022 | 6 | 2022 |
Gradient estimates for mean curvature flow with Neumann boundary conditions M Mizuno, K Takasao Nonlinear Differential Equations and Applications NoDEA 24 (4), 32, 2017 | 5 | 2017 |
Regularity and Asymptotic Behavior for the Keller-Segel System of Degenerate Type with Critical Nonlinearity M Mizuno, T Ogawa J. Math. Sci. Univ. Tokyo 20, 375-433, 2013 | 5 | 2013 |
Nonlinear inhomogeneous Fokker–Planck models: energetic-variational structures and long-time behavior Y Epshteyn, C Liu, C Liu, M Mizuno Analysis and Applications 20 (06), 1295-1356, 2022 | 4 | 2022 |
Grain growth and the effect of different time scales K Barmak, A Dunca, Y Epshteyn, C Liu, M Mizuno Research in Mathematics of Materials Science, 33-58, 2022 | 4 | 2022 |
Long time behavior for a curvature flow of networks related to grain bundary motion with the effect of lattice misorientations T Kagaya, M Mizuno, K Takasao arXiv preprint arXiv:2112.11069, 2021 | 4 | 2021 |
On the uniqueness of linear convection–diffusion equations with integral boundary conditions CC Lee, M Mizuno, SH Moon Comptes Rendus. Mathématique 361 (G1), 191-206, 2023 | 3 | 2023 |
Unified asymptotic analysis and numerical simulations of singularly perturbed linear differential equations under various nonlocal boundary effects X Chen, CC Lee, M Mizuno Communications in Mathematical Sciences 22 (2), 394-434, 2024 | 1 | 2024 |
Local well-posedness of a nonlinear Fokker–Planck model Y Epshteyn, C Liu, C Liu, M Mizuno Nonlinearity 36 (3), 1890, 2023 | 1 | 2023 |
A curve shortening equation with time-dependent mobility related to grain boundary motions M Mizuno, K Takasao arXiv preprint arXiv:2002.01617, 2020 | 1 | 2020 |
Erratum to “Convergence of the Allen--Cahn Equation with Neumann Boundary Conditions'' M Mizuno, Y Tonegawa SIAM Journal on Mathematical Analysis 48 (4), 3035-3036, 2016 | 1 | 2016 |
Remarks on Hölder continuity for solutions of the p-Laplace evolution equations M Mizuno Journal of Mathematical Analysis and Applications 382 (2), 785-791, 2011 | 1 | 2011 |
Longtime Asymptotic Behavior of Nonlinear Fokker-Planck Type Equations with Periodic Boundary Conditions Y Epshteyn, C Liu, M Mizuno arXiv preprint arXiv:2404.05157, 2024 | | 2024 |
3D15 漸化式による感染症の数理モデルと ICT を用いた数学教材-Google スプレッドシート を用いた ICT 教材 山岸ゆきな, 松田悠依, 﨑山歩実, 水野将司 工学教育研究講演会講演論文集 第 70 回年次大会 (2022 年度), 376-377, 2022 | | 2022 |
Gradient estimates for mean curvature flow with Neumann boundary conditions (Theory of evolution equations and applications to nonlinear problems) M Mizuno, K Takasao 数理解析研究所講究録 2066, 35-45, 2018 | | 2018 |
CONVERGENCE OF THE ALLEN-CAHN EQUATION WITH NEUMANN BOUNDARY CONDITIONS (Regularity and Singularity for Partial Differential Equations with Conservation Laws) 水野将司, 利根川吉廣 数理解析研究所講究録 1962, 10-16, 2015 | | 2015 |