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.
https://hal.inria.fr/hal-02098372
Contributor : Carole Louis-Rose
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Submitted on : Friday, April 12, 2019 - 3:54:44 PM
Last modification on : Monday, January 13, 2020 - 1:14:51 AM
Carole Louis-Rose. Null controllability of a parabolic coupled system with control under constraints. International Conference on Applied Mathematcs and Numerical Methods (ICAMNM 2018), Oct 2018, Craiova, Romania. pp. 146-158. ⟨hal-02098372⟩
