Data di Pubblicazione:
2017
Citazione:
The effect on Fisher-KPP propagation in a cylinder with fast diffusion on the boundary / L. Rossi, A. Tellini, E. Valdinoci. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - 49:6(2017), pp. 4595-4624. [10.1137/17M1125388]
Abstract:
In this paper we consider a reaction-diffusion equation of Fisher-KPP type inside an infinite cylindrical domain in RN+1, coupled with a reaction-diffusion equation on the boundary of the domain, where potentially fast diffusion is allowed. We will study the existence of an asymptotic speed of propagation for solutions of the Cauchy problem associated with such a system, as well as the dependence of this speed on the diffusivity at the boundary and the amplitude of the cylinder. When N = 1 the domain reduces to a strip between two straight lines. This models the effect of two roads with fast diffusion on a strip-shaped field bounded by them.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
asymptotic speed of spreading; different spatial dimensions; KPP equations; reaction-diffusion systems; analysis; computational mathematics; applied mathematics
Elenco autori:
L. Rossi, A. Tellini, E. Valdinoci
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