Comptes Rendus
no. 3
Partial differential equations
Exact controllability to trajectories for entropy solutions to scalar conservation laws in several space dimensions
[Contrôlabilité exacte aux trajectoires pour des lois de conservation scalaires multidimensionnelles]

Présenté par : Jean-Michel Coron

Carlotta Donadello1 ; Vincent Perrollaz2
1 Université de Bourgogne Franche-Comté, Laboratoire de mathématiques, CNRS UMR6623, 16, route de Gray, 25000 Besançon, France
2 Université de Tours, Institut Denis-Poisson, CNRS UMR 7013, Parc de Grandmont, 37000 Tours, France
Comptes Rendus. Mathématique, Volume 357 (2019) no. 3, pp. 263-271.

On décrit dans cet article une nouvelle méthode permettant d'obtenir un résultat de contrôlabilité exacte aux trajectoires pour des lois de conservation scalaires en plusieurs dimensions d'espace dans le cadre des solutions entropiques et sous une simple hypothèse de non-dégénérescence du flux et une hypothèse géométrique naturelle.

We describe a new method that allows us to obtain a result of exact controllability to trajectories of multidimensional conservation laws in the context of entropy solutions and under a mere non-degeneracy assumption on the flux and a natural geometric condition.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2019.01.012
Carlotta Donadello 1 ; Vincent Perrollaz 2

1 Université de Bourgogne Franche-Comté, Laboratoire de mathématiques, CNRS UMR6623, 16, route de Gray, 25000 Besançon, France
2 Université de Tours, Institut Denis-Poisson, CNRS UMR 7013, Parc de Grandmont, 37000 Tours, France 
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Carlotta Donadello; Vincent Perrollaz. Exact controllability to trajectories for entropy solutions to scalar conservation laws in several space dimensions. Comptes Rendus. Mathématique, Volume 357 (2019) no. 3, pp. 263-271. doi : 10.1016/j.crma.2019.01.012. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2019.01.012/

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