FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 5, PAGES 121-134

Spike-type contrast structures in reaction-diffusion systems

N. N. Nefedov

Abstract

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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.

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Last modified: February 21, 2007