1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.OC2025
Optimal Control of Pseudo-Parabolic KWC Systems for Grain Boundary Motion
Harbir Antil, Daiki Mizuno, Ken Shirakawa
The KWC system is a well-known generic framework for phase-field models of grain boundary motion, whose original formulation is given as a parabolic gradient flow of a free energy.…
math.AP2024
Well-posedness of a Pseudo-Parabolic KWC System in Materials Science
Harbir Antil, Daiki Mizuno, Ken Shirakawa
The original KWC-system is widely used in materials science. It was proposed in [Kobayashi et al, Physica D, 140, 141--150 (2000)] and is based on the phase field model of planar g…
math.AP2023★ 1 cited
A Class of Initial-Boundary Value Problems Governed by Pseudo-Parabolic Weighted Total Variation Flows
Toyohiko Aiki, Daiki Mizuno, Ken Shirakawa
In this paper, we consider a class of initial-boundary value problems governed by pseudo-parabolic total variation flows. The principal characteristic of our problem lies in the ve…