Propagation speed for reaction–diffusion equations in general domains |
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Authors: | Henri Berestycki François Hamel Nikolai Nadirashvili |
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Institution: | 1. EHESS, CAMS, 54, boulevard Raspail, 75006 Paris, France;2. Université Aix-Marseille III, LATP, avenue Esc. Normandie-Niemen, 13397 Marseille cedex 20, France;3. University of Chicago, Department of Mathematics, 5734, S. University Avenue, Chicago, IL 60637-1546, USA |
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Abstract: | This Note is devoted to the analysis of some propagation phenomena for reaction–diffusion–advection equations with Fisher or Kolmogorov–Petrovsky–Piskunov (KPP) type nonlinearities. Some formulæ for the speed of propagation of pulsating fronts in periodic domains are given. These allow us to describe the influence of the various terms in the equation or of geometry on propagation. We also derive results for propagation speed in more general domains without periodicity. To cite this article: H. Berestycki et al., C. R. Acad. Sci. Paris, Ser. I 339 (2004). |
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