Homogeneity applied to the controllability of a system of parabolic equations

Jean-Michel Coron; Sergio Guerrero; Philippe Martin; Lionel Rosier

Homogeneity applied to the controllability of a system of parabolic equations

Jean-Michel Coron ¹ Sergio Guerrero ¹ Philippe Martin ² Lionel Rosier ²

1 LJLL - Laboratoire Jacques-Louis Lions

Abstract : We consider a system of two parabolic equations with a forcing term present in one equation and a nonlinear coupling term of a particular type in the other one. We establish a local null controllability result, even if the linearized control system fails to be null controllable. The proof combines the return method, a Carleman inequality and an argument based on homogeneity. Our result can be applied to a reaction- diffusion system from Chemistry and to the Ginzburg-Landau equation.

Type de document :

Communication dans un congrès

Domaine :

Sciences de l'ingénieur [physics] / Automatique / Robotique

Liste complète des métadonnées

https://hal-mines-paristech.archives-ouvertes.fr/hal-01263657
Contributeur : François Chaplais <>
Soumis le : jeudi 28 janvier 2016 - 09:01:41
Dernière modification le : dimanche 31 mars 2019 - 01:38:47

Homogeneity applied to the controllability of a system of parabolic equations

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Homogeneity applied to the controllability of a system of parabolic equations

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