1 citations · 1 across the 7 of their papers we have counts for
7 papers
Fractional time differential equations as a singular limit of the Kobayashi-Warren-Carter system
Yoshikazu Giga, Ayato Kubo, Hirotoshi Kuroda +3
This paper is concerned with a singular limit of the Kobayashi-Warren-Carter system, a phase field system modelling the evolutions of structures of grains. Under a suitable scaling…
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…
A finer singular limit of a single-well Modica--Mortola functional and its applications to the Kobayashi--Warren--Carter energy
Yoshikazu Giga, Jun Okamoto, Masaaki Uesaka
An explicit representation of the Gamma limit of a single-well Modica--Mortola functional is given for one-dimensional space under the graph convergence which is finer than convent…
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…
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…
An algebraic description of screw dislocations in SC and BCC crystal lattices
Hiroyasu Hamada, Shigeki Matsutani, Junichi Nakagawa +2
We give an algebraic description of screw dislocations in a crystal, especially simple cubic (SC) and body centered cubic (BCC) crystals, using free abelian groups and fibering str…
Carleman estimate and unique continuation for a structured population model
Masaaki Uesaka, Masahiro Yamamoto
We consider a time-dependent structured population model equation and establish a Carleman estimate. We apply the Carleman estimate to prove the unique continuation which means tha…