Asymptotic behaviour of the solution to a singularly perturbed partially dissipative system with a multiple root of the degenerate equation

DOI10.1070/SM8602zbMath1361.35085OpenAlexW2345206867MaRDI QIDQ2966685

V. F. Butuzov

Publication date: 8 March 2017

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8602

zbMATH Keywords

boundary layerpartially dissipative systemsingularly pertubated problem with a multiple root of the degenerated equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Asymptotic expansions of solutions to PDEs (35C20) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items

Asymptotics of the solution of a Tikhonov system of equations with a multizone boundary layer, Asymptotic behavior and stability of a stationary boundary-layer solution to a partially dissipative system of equations, Asymptotic behaviour of a boundary layer solution to a stationary partly dissipative system with a multiple root of the degenerate equation, Development of methods of asymptotic analysis of transition layers in reaction-diffusion-advection equations: theory and applications, Asymptotics of a Spike type contrast structure in a problem with a multiple root of the degenerate equation

Cites Work

• Asymptotics of the solution of an initial-boundary value problem for a singularly perturbed parabolic equation in the case of double root of the degenerate equation
• Partly dissipative reaction-diffusion systems and a model of phosphorus diffusion in silicon