Global Existence for Degenerate Quadratic Reaction-Diffusion Systems

Global existence of weak solutions for general anisotropic viscosities for non-stationary compressible barotropic Navier- Stokes equations or even quasi-stationary Stokes equations

Murat , Quasilinear problems having quadratic growth in the gradient: an existence result when the source term is small, Equations aux ´ d´ eriv´ ees partielles et

Construction of diffusion operators on networks via bilinear forms, generation of an analytic semigroup, ultracontractivity and maximal regularity properties, essential for the

This dispersion was proved in the case of rotating fluids ([12], [29]) or in the case of primitive equations ([9]) in the form of Strichartz type estimates, which allows to prove

This chemical reaction is typical of general reversible reactions and contains the major difficulties encountered in a large class of similar problems as regards global existence

DEUX SYSTÈMES AUX DIFFUSIONS CROISÉES 15 que la vitesse de la réaction est donnée par la loi d’action de masse (voir [46] pour plus de dé- tails sur les mécanismes de réaction).

particular that global existence of weak solutions holds for systems with the (only) structure (1.8) and for which the nonlinear growth is at most quadratic.. A recent work (7)

Abstract : We prove here global existence in time of weak solutions for some reaction- diffusion systems with natural structure conditions on the nonlinear reactive terms which