Convection-reaction-diffusion systems and interface dynamics

As far as the latter case is con- cerned, it is proved in [17] and Theorem 3.1 in [31] that the nonexistence of solutions of the equation −F (D 2 u) = f (u) in R n (and even in R n−1

The weak link we consider is formed by the spin at the central site, whose Z-component is almost conserved. The commutator of this operator with the one-step time evolution operator

Bien que leur méthode, très utilisée aujourd’hui notamment pour traiter les modèles issus de la dynamique adaptative, n’emploie pas le cadre des ondes progressives mis en avant

Keywords: Age-space-structured PDE, Reaction-diffusion system with delay, Difference equation, Dirichlet boundary condition, Existence and uniqueness of positive steady state,