Articles
Published 2012-01-15
DOI:
https://doi.org/10.71712/Keywords
- Parabolic system,
- boundary control,
- null-controllability.
Copyright (c) 2025 Scientia Series A: Mathematical Sciences
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
Eduardo Cerpa, Alberto Mercado, & Ademir F. Pazoto. (2012). On the boundary control of a parabolic system coupling KS-KdV and Heat equations. Scientia Series A: Mathematical Sciences, 22, 55-74. https://doi.org/10.71712/
Abstract
This paper presents a control problem for a one-dimensional nonlinear parabolic system. The system consists of a Kuramoto-Sivashinsky-Korteweg de Vries equation coupled to a heat equation. The problem of boundary controllability is discussed. The local null-controllability of the system is proven. The proof is based on a Carleman estimates approach to deal with the linearized system around the origin. A local inversion theorem is applied to get the result for the nonlinear system.
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