1 citations · 1 across the 5 of their papers we have counts for
9 papers
Temperature Control of PDE Constrained Optimization Problems Governed by Kobayashi--Warren--Carter Type Models of Grain Boundary Motions
Harbir Antil, Shodai Kubota, Ken Shirakawa +1
In this paper, we consider a class of optimal control problems governed by state-equations of Kobayashi--Warren--Carter type. The control is given by physical temperature. The focu…
Kobayashi--Warren--Carter type systems with nonhomogeneous Dirichlet boundary data for crystalline orientation
Salvador Moll, Ken Shirakawa, Hiroshi Watanabe
In this paper we study the Dirichlet problem for the Kobayashi--Warren--Carter system. This system of parabolic PDE's models the grain boundary motion in a polycrystal with a presc…
Optimal control problems for 1D parabolic state-systems of KWC types with dynamic boundary conditions
Shodai Kubota, Ryota Nakayashiki, Ken Shirakawa
In this paper, we consider a class of optimal control problems governed by 1D parabolic state-systems of KWC types with dynamic boundary conditions. The state-systems are based on…
Energy-dissipation in a coupled system of Allen-Cahn type equation and Kobayashi-Warren-Carter type model of grain boundary motion
Hiroshi Watanabe, Ken Shirakawa
In this paper, we consider a system of initial boundary value problems for parabolic equations, as a generalized version of the "-- model" of grain boundary motion, pro…
Optimal Control Problems Governed by 1-D Kobayashi-Warren-Carter Type Systems
Harbir Antil, Shodai Kubota, Ken Shirakawa +1
This paper is devoted to the study of a class of optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems, which are based on a phase-field model of grain boun…
On boundary detachment phenomena for the total variation flow with dynamic boundary conditions
Yoshikazu Giga, Ryota Nakayashiki, Piotr Rybka +1
We combine the total variation flow suitable for crystal modeling and image analysis with the dynamic boundary conditions. We analyze the behavior of facets at the parts of the bou…