This article is cited in 2 papers

Spike-type contrast structures in reaction-diffusion systems

N. N. Nefedov

M. V. Lomonosov Moscow State University

Abstract: Stationary internal layers of spike type for multidimensional reaction-diffusion problems were considered. We prove the existence of internal layers of this type, construct their asymptotics and investigate the stability of these stationary solutions. The consideration is based on an extension of singular limit eigenvalue problem method.

UDC: 517.958.226

 English version: Journal of Mathematical Sciences (New York), 2008, 150:6, 2540–2549

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