Asymptotic behaviour of a boundary layer solution to a stationary partly dissipative system with a multiple root of the degenerate equation

DOI10.1070/SM9149zbMath1480.34077MaRDI QIDQ5210880

V. F. Butuzov

Publication date: 22 January 2020

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

zbMATH Keywords

multizone boundary layerpartly dissipative systemsingularly perturbed problem with multiple root of degenerate equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Applications of boundary value problems involving ordinary differential equations (34B60) Multiple scale methods for ordinary differential equations (34E13)

Related Items (4)

Solution of the nonregular problem for a parabolic equation with the time derivative in the boundary condition ⋮ Asymptotics of the solution of a Tikhonov system of equations with a multizone boundary layer ⋮ 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

• 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
• Nonlinear singular perturbation phenomena: theory and applications
• Asymptotic behaviour of the solution to a singularly perturbed partially dissipative system with a multiple root of the degenerate equation
• Partly dissipative reaction-diffusion systems and a model of phosphorus diffusion in silicon
• Asymptotic behaviour and stability of solutions of a singularly perturbed elliptic problem with a triple root of the degenerate equation
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