5 papers
Convergence of a minimizing movement scheme for contact-angle mean curvature flow in a smooth bounded domain
Tokuhiro Eto, Jiwoong Jang
This paper studies a Chambolle-type minimizing movement scheme for mean curvature flow with prescribed contact angle in a smooth bounded domain. The scheme is based on the capillar…
Rate of Convergence in Periodic Homogenization for Convex Hamilton-Jacobi Equations with Multiscales
Yuxi Han, Jiwoong Jang
We study the rate of convergence in periodic homogenization for convex Hamilton--Jacobi equations with multiscales, where the Hamiltonian $H=H(x, y, p): \mathbb{R}^n \times \mathbb…
A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting
Jiwoong Jang
In this paper, we obtain the rate of convergence in periodic homogenization of forced graphical mean curvature flows in the laminated setting. We also discus…
Capillary-type boundary value problems of mean curvature flow with force and transport terms on a bounded domain
Jiwoong Jang
In this paper, we study the forced mean curvature flows and the prescribed mean curvature equations of both graphs and level-sets with capillary-type boundary conditions on a …
Level-set forced mean curvature flow with the Neumann boundary condition
Jiwoong Jang, Dohyun Kwon, Hiroyoshi Mitake +1
Here, we study a level-set forced mean curvature flow with the homogeneous Neumann boundary condition. We first show that the solution is Lipschitz in time and locally Lipschitz in…