Optimal distributed control of a Allen–Cahn/Cahn–Hilliard system with temperature
B Chen, C Liu - Applied Mathematics & Optimization, 2021 - Springer
In this paper, our aim is to deal with a distributed optimal control problem for Allen–
Cahn/Cahn–Hilliard system with temperature. We firstly establish the existence of a weak …
Cahn/Cahn–Hilliard system with temperature. We firstly establish the existence of a weak …
Optimal distributed control for a coupled phase-field system
B Chen, H Li, C Liu - Discrete and Continuous Dynamical Systems …, 2022 - aimsciences.org
Our aim is to consider a distributed optimal control problem for a coupled phase-field system
which was introduced by Cahn and Novick-Cohen. First, we establish that the existence of a …
which was introduced by Cahn and Novick-Cohen. First, we establish that the existence of a …
A Splitting Method for the Allen-Cahn/Cahn-Hilliard System Coupled with Heat Equation Based on Maxwell-Cattaneo Law
N El Khatib, A Makki, M Petcu - Applied Mathematics & Optimization, 2023 - Springer
We analyze here a finite element space semidiscretization of the Allen-Cahn/Cahn-Hilliard
system coupled with heat equation and based on the Maxwell-Cattaneo law. We prove that …
system coupled with heat equation and based on the Maxwell-Cattaneo law. We prove that …