Spatial localization for a general reaction-diffusion system

G. Galiano, M.A. Peletier

    Research output: Contribution to journalArticleAcademicpeer-review


    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.
    Original languageEnglish
    Pages (from-to)419-441
    Number of pages23
    JournalAnnales de la Faculté des Sciences de Toulouse. Série VI
    Issue number3
    Publication statusPublished - 1998


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