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 . 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 is proposed. This analysis is based on the sign of the associated Friedrichs tensor, taking positive, null or reasonably negative values.
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@article{CRMATH_2017__355_8_892_0, author = {Cantin, Pierre}, title = {Well-posedness of the scalar and the vector advection{\textendash}reaction problems in {Banach} graph spaces}, journal = {Comptes Rendus. Math\'ematique}, pages = {892--902}, publisher = {Elsevier}, volume = {355}, number = {8}, year = {2017}, doi = {10.1016/j.crma.2017.07.009}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2017.07.009/} }
TY - JOUR AU - Cantin, Pierre TI - Well-posedness of the scalar and the vector advection–reaction problems in Banach graph spaces JO - Comptes Rendus. Mathématique PY - 2017 SP - 892 EP - 902 VL - 355 IS - 8 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2017.07.009/ DO - 10.1016/j.crma.2017.07.009 LA - en ID - CRMATH_2017__355_8_892_0 ER -
%0 Journal Article %A Cantin, Pierre %T Well-posedness of the scalar and the vector advection–reaction problems in Banach graph spaces %J Comptes Rendus. Mathématique %D 2017 %P 892-902 %V 355 %N 8 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2017.07.009/ %R 10.1016/j.crma.2017.07.009 %G en %F CRMATH_2017__355_8_892_0
Cantin, Pierre. Well-posedness of the scalar and the vector advection–reaction problems in Banach graph spaces. Comptes Rendus. Mathématique, Tome 355 (2017) no. 8, pp. 892-902. doi : 10.1016/j.crma.2017.07.009. http://www.numdam.org/articles/10.1016/j.crma.2017.07.009/
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