25 citations · 39 across the 13 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.AP2015★ 6 cited
Gradient estimates for mean curvature flow with Neumann boundary conditions
Masashi Mizuno, Keisuke Takasao
We study the mean curvature flow of graphs both with Neumann boundary conditions and transport terms. We derive boundary gradient estimates for the mean curvature flow. As an appli…
math.AP2015
Existence of weak solution for volume preserving mean curvature flow via phase field method
Keisuke Takasao
We study the phase field method for the volume preserving mean curvature flow. Given an initial hypersurface we proved the existence of the weak solution for the volume prese…
math.AP2015
Convergence of the Allen-Cahn equation with constraint to Brakke's mean curvature flow
Keisuke Takasao
In this paper we consider the Allen-Cahn equation with constraint. In 1994, Chen and Elliott studied the asymptotic behavior of the solution of the Allen-Cahn equation with constra…