Comptes Rendus
no. 8
Partial differential equations
Well-posedness of the scalar and the vector advection–reaction problems in Banach graph spaces
[Analyse des problèmes d'advection–réaction scalaire et vectoriel dans les espaces de Banach du graphe]

Présenté par : the Editorial Board

Pierre Cantin1
1 Université Paris-Est, CERMICS (ENPC), 77455 Marne-la-Vallée cedex 2, France
Comptes Rendus. Mathématique, Volume 355 (2017) no. 8, pp. 892-902.

Cette Note propose une extension de l'analyse de la bonne position des problèmes d'advection–réaction scalaire et vectorielle dans les espaces du graphe de Banach de puissance p∈(1,∞). Cette analyse étend l'hypothèse sur le signe du tenseur de Friedrichs associé à ces problèmes, permettant ainsi de considérer le cas où ce tenseur prend des valeurs positives, nulles ou raisonnablement négatives.

An extension of the well-posedness analysis of the scalar and the vector advection–reaction problem in Banach graph spaces of power p∈(1,∞) is proposed. This analysis is based on the sign of the associated Friedrichs tensor, taking positive, null or reasonably negative values.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.07.009
Pierre Cantin 1

1 Université Paris-Est, CERMICS (ENPC), 77455 Marne-la-Vallée cedex 2, France 
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Pierre Cantin. Well-posedness of the scalar and the vector advection–reaction problems in Banach graph spaces. Comptes Rendus. Mathématique, Volume 355 (2017) no. 8, pp. 892-902. doi : 10.1016/j.crma.2017.07.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.07.009/

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