Publikation:

Stabilization to trajectories of nonisothermal Cahn–Hilliard equations

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Datum

2025

Autor:innen

Fritz, Marvin
Rodrigues, Sérgio S.

Herausgeber:innen

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URI (zitierfähiger Link)
http://nbn-resolving.de/urn:nbn:de:bsz:352-2-1dv21qr4kdyzw1
DOI (zitierfähiger Link)
https://doi.org/10.1051/cocv/2025068
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CC BY 4.0

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Open Access-Veröffentlichung
Open Access Gold

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Mathematik und Statistik: Publikationen
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Published

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Control, Optimisation and Calculus of Variations (ESAIM-COCV). EDP Sciences. 2025, 31, 81. ISSN 1292-8119. eISSN 1262-3377. Verfügbar unter: doi: 10.1051/cocv/2025068

Zusammenfassung

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.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Exponential stabilization to trajectories, Cahn–Hilliard systems, oblique projection feedback, finitedimensional control

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ISO 690AZMI, Behzad, Marvin FRITZ, Sérgio S. RODRIGUES, 2025. Stabilization to trajectories of nonisothermal Cahn–Hilliard equations. In: Control, Optimisation and Calculus of Variations (ESAIM-COCV). EDP Sciences. 2025, 31, 81. ISSN 1292-8119. eISSN 1262-3377. Verfügbar unter: doi: 10.1051/cocv/2025068
BibTex
@article{Azmi2025Stabi-75335,
  title={Stabilization to trajectories of nonisothermal Cahn–Hilliard equations},
  year={2025},
  doi={10.1051/cocv/2025068},
  volume={31},
  issn={1292-8119},
  journal={Control, Optimisation and Calculus of Variations (ESAIM-COCV)},
  author={Azmi, Behzad and Fritz, Marvin and Rodrigues, Sérgio S.},
  note={Article Number: 81}
}
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