17 citations · 23 across the 4 of their papers we have counts for
5 papers
Existence of self-similar solutions for the surface diffusion flow with nonlinear boundary conditions in the half space
Tomoro Asai, Yoshihito Kohsaka
We study the Mullins' problem that was proposed by Mullins in 1957 and is one of the models of the thermal grooving by surface diffusion. Mathematically, this is the problem of evo…
A thresholding algorithm to Willmore-type flows via fourth order linear parabolic equation
Katsuyuki Ishii, Yoshihito Kohsaka, Nobuhito Miyake +1
We propose a thresholding algorithm to Willmore-type flows in . This algorithm is constructed based on the asymptotic expansion of the solution to the initial value p…
Existence of non-convex traveling waves for surface diffusion of curves with constant contact angles
Takashi Kagaya, Yoshihito Kohsaka
The traveling waves for surface diffusion of plane curves are studied. We consider an evolving plane curve with two endpoints, which can move freely on the x-axis with generating c…
Mean curvature flow with triple junctions in higher space dimensions
Daniel Depner, Harald Garcke, Yoshihito Kohsaka
We consider mean curvature flow of n-dimensional surface clusters. At (n-1)-dimensional triple junctions an angle condition is required which in the symmetric case reduces to the w…
Nonlinear stability of stationary solutions for curvature flow with triple junction
Harald Garcke, Yoshihito Kohsaka, Daniel Sevcovic
In this paper we analyze the motion of a network of three planar curves with a speed proportional to the curvature of the arcs, having perpendicular intersections with the outer bo…