9 citations · 12 across the 4 of their papers we have counts for
4 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…
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…
A class of parabolic systems associated with optimal controls of grain boundary motions
Harbir Antil, Ken Shirakawa, Noriaki Yamazaki
We propose a semi-discrete numerical scheme and establish well-posedness of a class of parabolic systems. Such systems naturally arise while studying the optimal control of grain b…
Phase-field systems for grain boundary motions under isothermal solidifications
Ken Shirakawa, Hiroshi Watanabe, Noriaki Yamazaki
Two main existence theorems are proved for two nonstandard systems of parabolic initial-boundary value problems. The systems are based on the "-- model" proposed by Kob…