Asymptotic expansion of the solution to a partially dissipative system of equations with a multizone boundary layer

DOI10.1134/S0965542519100051zbMath1443.34054MaRDI QIDQ2300711

V. F. Butuzov

Publication date: 28 February 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

multi-zone boundary layermultiple root of a degenerate equationsingularly perturbed partially dissipative system of equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (4)

Asymptotics of the solution of a Tikhonov system of equations with a multizone boundary layer ⋮ Singularly perturbed problems with multi-tempo fast variables ⋮ Singularly perturbed partially dissipative systems of equations ⋮ Development of methods of asymptotic analysis of transition layers in reaction-diffusion-advection equations: theory and applications

Cites Work

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• On the stability and the attraction domain of the stationary solution of a singularly perturbed parabolic equation with a multiple root of the degenerate equation
• On the dependence of the structure of boundary layers on the boundary conditions in a singularly perturbed boundary-value problem with multiple root of the related degenerate equation
• Asymptotics of the solution to an initial boundary value problem for a singularly perturbed parabolic equation in the case of a triple root of the degenerate equation
• On the special properties of the boundary layer in singularly perturbed problems with multiple root of the degenerate equation
• Asymptotic behavior and stability of a stationary boundary-layer solution to a partially dissipative system of equations
• Asymptotic behaviour and stability of solutions of a singularly perturbed elliptic problem with a triple root of the degenerate equation

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