Stabilization to trajectories of nonisothermal Cahn-Hilliard equations
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910686908514304 |
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| author | Azmi, Behzad Fritz, Marvin Rodrigues, Sérgio S. |
| author_facet | Azmi, Behzad Fritz, Marvin Rodrigues, Sérgio S. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04018 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stabilization to trajectories of nonisothermal Cahn-Hilliard equations Azmi, Behzad Fritz, Marvin Rodrigues, Sérgio S. Optimization and Control Analysis of PDEs 93D15, 93B52, 93C20, 35K52, 35Q93, 65M22 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. |
| title | Stabilization to trajectories of nonisothermal Cahn-Hilliard equations |
| topic | Optimization and Control Analysis of PDEs 93D15, 93B52, 93C20, 35K52, 35Q93, 65M22 |
| url | https://arxiv.org/abs/2411.04018 |