On asymptotics for the solution of a singularly perturbed parabolic problem with a multizone internal transition layer

DOI10.1134/S0965542518060040zbMath1397.35011OpenAlexW2815652285WikidataQ129565182 ScholiaQ129565182MaRDI QIDQ1785070

V. F. Butuzov

Publication date: 27 September 2018

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

Full work available at URL: https://doi.org/10.1134/s0965542518060040

zbMATH Keywords

asymptotic solutionNeumann boundary conditionstime-periodic solutionstep-like contrast structurethree roots of the degenerate equation

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (7)

Solution of the nonregular problem for a parabolic equation with the time derivative in the boundary condition ⋮ Asymptotics of the solution of bisingularly perturbed first boundary value problem ⋮ Asymptotics of the solution of a Tikhonov system of equations with a multizone boundary layer ⋮ Asymptotics of a steplike contrast structure in a partially dissipative stationary system of equations ⋮ Singularly perturbed problems with multi-tempo fast variables ⋮ Asymptotics of the solution to the boundary-value problems with non smooth coefficient ⋮ 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 special properties of the boundary layer in singularly perturbed problems with multiple root of the degenerate equation
• Singularly perturbed problems with boundary and internal layers
• 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
• On periodic solutions to singularly perturbed parabolic problems in the case of multiple roots of the degenerate equation

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