Journal
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 459, Issue 2038, Pages 2529-2546Publisher
ROYAL SOC
DOI: 10.1098/rspa.2003.1134
Keywords
fast nonlinear diffusion; reaction-diffusion; population dispersal
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In this paper we examine the Cauchy problem for a nonlinear Fisher-Kolmogorov-Petrovski-Piskunov (Fisher-KPP) reaction-diffusion equation with fast diffusion, namely u(t) = del . (u(-n)delu) + u(1 - u) for x in R-N, 0 < n < max(1, 2/N) and t > 0. We show, in particular, that the problem does not have permanent-form travelling-wave solutions, and we derive the large-time asymptotic form of the solution.
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