Research keywords (1):
Partial differential equation, Mean curvature flow, calculus of variations, phase field method
Research theme for competitive and other funds (4):
2023 - 2028 Canonical mean curvature flow and its application to evolution problems
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
Papers (15):
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
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
Keisuke Takasao. Global existence and monotonicity formula for volume preserving mean curvature flow. RIMS Kôkyûroku Bessatsu. 2020. B80. 81-94