This article is cited in 9 papers

On one model problem for the reaction-diffusion-advection equation

M. A. Davydova, S. A. Zakharova, N. T. Levashova

Moscow State University, Moscow, Russia

Abstract: The asymptotic behavior of the solution with boundary layers in the time-independent mathematical model of reaction-diffusion-advection arising when describing the distribution of greenhouse gases in the surface atmospheric layer is studied. On the basis of the asymptotic method of differential inequalities, the existence of a boundary-layer solution and its asymptotic Lyapunov stability as a steady-state solution of the corresponding parabolic problem is proven. One of the results of this work is the determination of the local domain of the attraction of a boundary-layer solution.

Key words: reaction–diffusion–advection equations, singularly perturbed problems, asymptotic methods.

UDC: 519.633

Received: 02.06.2016
Revised: 12.12.2016

DOI: 10.7868/S0044466917090058

 English version: Computational Mathematics and Mathematical Physics, 2017, 57:9, 1528–1539

Bibliographic databases:

• 
• 
• 
•