A. V. Nesterov, O. V. Shuliko, “On the asymptotic behavior of the solution of a singularly perturbed system of parabolic equations in the critical case”, Zh. Vychisl. Mat. Mat. Fiz., 2010, Volume 50, Number 2,Pages <nobr>268

This article is cited in 5 papers

On the asymptotic behavior of the solution of a singularly perturbed system of parabolic equations in the critical case

A. V. Nesterov^a, O. V. Shuliko^b

^a Russian State Social University, ul. V. Pika 4, Moskow, 129226 Russia
^b Obninsk State Technical University for Nuclear Power Engineering, Studgorodok 1, Obninsk, Kaluga oblast, 249040 Russia

Abstract: A formal asymptotic representation is constructed for the solution of an initial-boundary value problem for a singularly perturbed system of parabolic equations. A specific feature of the problem is that its solution has an internal transition layer.

Key words: small parameter, singular perturbations, initial-boundary value problems for parabolic equations, asymptotic representation of solutions, transition layer.

UDC: 519.633

Received: 29.04.2009