Problèmes de réaction–diffusion–convection dans des cylindres non bornés

Abstract

The work is devoted to reaction–diffusion–convection problems in unbounded cylinders. We study the Fredholm property and properness of the corresponding elliptic operators and define the topological degree. Together with analysis of the spectrum of the linearized operators it allows us to study bifurcations of solutions and to prove existence of convective waves. Finally, we make some conclusions about the possible appearance of a “convective instability”.