Null controllability of a parabolic coupled system with control under constraints

Carole Louis-Rose 1
1 LAMIA - Laboratoire de Mathématiques Informatique et Applications
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.
Keywords : Null controllability Non-linear system Parabolic system Carleman inequality
Document type :
Conference papers
Complete list of metadatas
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

Identifiers

  • HAL Id : hal-02098372, version 1

Collections

UNIV-AG | INSMI | BNRMI

Citation

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⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

49

Contact


archive-ouverte@inria.fr