This article is cited in 1 paper

Solutions to a singularly perturbed parabolic equation with internal and boundary layers depending on stretched variables of different orders

E. E. Bukzhalev, A. B. Vasil'eva

Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia

Abstract: The solution to a singularly perturbed parabolic equation with internal and boundary layers whose stretched variables may depend on different powers of the perturbation parameter is considered. An asymptotic representation of the solution is constructed and substantiated, and its stability is proved.

Key words: singular perturbations, steplike contrast structures, boundary function method, differential inequality method, stability of solutions to parabolic equations.

UDC: 519.624.2

Received: 29.12.2005
Revised: 06.09.2006

 English version: Computational Mathematics and Mathematical Physics, 2007, 47:3, 407–419

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