Null controllability of a parabolic coupled system with control under constraints

Abstract : We prove the null controllability of a parabolic system. The single control is common to both PDEs, distributed and subject to constraints. The studied model can be applied in dynamics of biological systems or in physics. First we study the problem associated to a similar linearized system. Then appropriate Carleman inequalities and a fixed-point argument are used to prove the null controllability resuts.
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Conference papers
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https://hal.inria.fr/hal-02098372
Contributor : Carole Louis-Rose <>
Submitted on : Friday, April 12, 2019 - 3:54:44 PM
Last modification on : Friday, September 27, 2019 - 11:27:24 PM

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  • HAL Id : hal-02098372, version 1

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Carole Louis-Rose. Null controllability of a parabolic coupled system with control under constraints. International Conference on Applied Mathematcs and Numerical Methods (ICAMNM 2018), the Department of Applied Mathematics from the University of Craiova, Oct 2018, Craiova, Romania. pp. 146-158. ⟨hal-02098372⟩

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