1 citations · 1 across the 6 of their papers we have counts for
6 papers
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.…
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…
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…
Kobayashi-Warren-Carter System of Singular Type under Dynamic Boundary Condition
Ryota Nakayashiki, Ken Shirakawa
In this paper, we consider a coupled system, known as Kobayashi--Warren--Carter system, abbreviated as the KWC system. KWC system consists of an Allen--Cahn type equation and a sin…
Periodic solutions to Kobayashi--Warren--Carter systems
Shodai Kubota, Ken Shirakawa
In this paper, a system of parabolic PDEs, called the Kobayashi--Warren--Carter system, is considered as a possible phase-field model of planar grain boundary motion. The Main Theo…
A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions
Pierluigi Colli, Gianni Gilardi, Ryota Nakayashiki +1
In this paper, we consider a class of coupled systems of PDEs, denoted by (ACE) for . For each , the system (ACE)$_{\var…