2 papers
math.AP2026
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…
math.AP2024
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…