3 papers
math.AP2022
On a singular limit of the Kobayashi--Warren--Carter energy
Yoshikazu Giga, Jun Okamoto, Koya Sakakibara +1
By introducing a new topology, a representation formula of the Gamma limit of the Kobayashi-Warren-Carter energy is given in a multi-dimensional domain. A key step is to study the…
math.AP2020
Short-time approximate solutions of an equation modeling a camphor motion
Jishan Fan, Masaharu Nagayama, Gen Nakamura +1
As a profound example of spontaneous motion, we analyze the motion of a camphor particle on a water surface. The motion is modeled as an initial-boundary value problem for a couple…
math.AP2019
A new numerical scheme for constrained total variation flows and its convergence
Yoshikazu Giga, Koya Sakakibara, Kazutoshi Taguchi +1
In this paper, we propose a new numerical scheme for a spatially discrete model of constrained total variation flows, which are total variation flows whose values are constrained i…