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arXiv · 2411.04018

Stabilization to trajectories of nonisothermal Cahn-Hilliard equations

Behzad Azmi·Marvin Fritz·Sérgio S. Rodrigues
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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.

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Behzad Azmi, Marvin Fritz, Sérgio S. Rodrigues. 2024-11-06. Stabilization to trajectories of nonisothermal Cahn-Hilliard equations. https://arxiv.org/abs/2411.04018

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