Research keywords (1):
Partial differential equation, Mean curvature flow, calculus of variations, phase field method
Research theme for competitive and other funds (8):
2024 - 2028 Mathematical analysis on interface motions allowing collision, rupture and coalasce
2023 - 2028 Canonical mean curvature flow and its application to evolution problems
2023 - 2027 Measure theoretic properties of phase field models for surface evolution equations
2020 - 2023 Construction of new phase field methods for dynamical problems in the calculus of variations
2018 - 2023 Multifaceted studies on dynamical problems in the calculus of variations using geometric measure theory
2016 - 2020 Analysis on existence and uniqueness of weak solution for mean curvature flow including junction
2017 - 2020 Analysis of evolving surfaces with conservation laws
2012 - 2013 移送項付き平均曲率流の解の存在について
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Papers (16):
Keisuke Takasao. The Existence of a Weak Solution to Volume Preserving Mean Curvature Flow in Higher Dimensions. Archive for Rational Mechanics and Analysis. 2023. 247. 3
Takashi Kagaya, Masashi Mizuno, Keisuke Takasao. Long time behavior for a curvature flow of networks related to grain boundary motion with the effect of lattice misoriantations. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. 2023. 59-59
Masashi Mizuno, Keisuke Takasao. A curve shortening equation with time-dependent mobility related to grain boundary motions. Interfaces and Free Boundaries. 2021. 23. 2. 169-190
Keisuke Takasao. On Obstacle Problem for Brakke's Mean Curvature Flow. SIAM Journal on Mathematical Analysis. 2021. 53. 6. 6355-6369
Yoshikazu Giga, Fumihiko Onoue, Keisuke Takasao. A varifold formulation of mean curvature flow with Dirichlet or dynamic boundary conditions. Differential Integral Equations. 2021. 34. 1--2. 21-16