We use a local energy method to study the spatial localization of the supports of the solutions of a reaction--diffusion system with nonlinear diffusion and a general reaction term. We establish finite speed of propagation and the existence of waiting times under a set of weak assumptions on the structural form of the system. These assumptions allow for additive and multiplicative reaction terms and space- and time-dependence of the coefficients, as well as a divergence-free convection term.

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CWI
Department of Analysis, Algebra and Geometry [AM]

Galiano, G, & Peletier, M.A. (1996). Spatial localization for a general reaction-diffusion system. Department of Analysis, Algebra and Geometry [AM]. CWI.