Global Existence for Degenerate Quadratic Reaction-Diffusion Systems

Michel Pierre (1) , Rozenn Texier-Picard (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

We consider a class of degenerate reaction-diffusion systems with quadratic nonlinearity and diffusion only in the vertical direction. Such systems can appear in the modeling of photochemical generation and atmospheric dispersion of pollutants. The diffusion coefficients are different for all equations. We study global existence of solutions.

Mots clés: reaction-diffusion systems; degenerate parabolic system; global existence

Domaines: Equations aux dérivées partielles [math.AP]

Michel Pierre, Rozenn Texier-Picard. Global Existence for Degenerate Quadratic Reaction-Diffusion Systems. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2009, 26, pp.1553-1568. ⟨10.1016/j.anihpc.2008.06.003⟩. ⟨hal-00279859v3⟩