Stabilization to trajectories of nonisothermal Cahn-Hilliard equations
Optimization and Control
2024-11-07 v1 Analysis of PDEs
Abstract
In this work, it is proven the semiglobal exponential stabilization to time-dependent trajectories of the nonisothermal Cahn-Hilliard equations. In the model, the input controls are given by explicit feedback operators that involve appropriate oblique projections. The actuators are given by a finite number of indicator functions. The results also hold for the isothermal Cahn-Hilliard system. Numerical simulations are shown that illustrate the stabilizing performance of the proposed input feedback operators.
Keywords
Cite
@article{arxiv.2411.04018,
title = {Stabilization to trajectories of nonisothermal Cahn-Hilliard equations},
author = {Behzad Azmi and Marvin Fritz and Sérgio S. Rodrigues},
journal= {arXiv preprint arXiv:2411.04018},
year = {2024}
}
Comments
10 figures