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Parabolic Problem with a Power-Law Boundary Layer

Parabolic Problem with a Power-Law Boundary Layer We construct a regularized asymptotics of the solution of the first boundary value problemfor a singularly perturbed two-dimensional differential equation of the parabolic type for the casein which the limit equation has a regular singularity. There arise power-law and corner boundarylayers along with parabolic ones in such problems. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Parabolic Problem with a Power-Law Boundary Layer

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References (13)

Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2021
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266121010067
Publisher site
See Article on Publisher Site

Abstract

We construct a regularized asymptotics of the solution of the first boundary value problemfor a singularly perturbed two-dimensional differential equation of the parabolic type for the casein which the limit equation has a regular singularity. There arise power-law and corner boundarylayers along with parabolic ones in such problems.

Journal

Differential EquationsSpringer Journals

Published: Feb 21, 2021

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