Corner Boundary Layer in Boundary Value Problems for Singularly Perturbed Parabolic Equations with Cubic Nonlinearities.

Autor:	Denisov, I. V.
Předmět:	BOUNDARY layer (Aerodynamics) BOUNDARY value problems CUBIC equations BOUNDARY layer equations ASYMPTOTIC expansions RECTANGLES
Zdroj:	Computational Mathematics & Mathematical Physics; Feb2021, Vol. 61 Issue 2, p242-253, 12p
Abstrakt:	For a singularly perturbed parabolic equation in a rectangle, a problem with boundary conditions of the first kind is considered. It is assumed that, at the corner points of the rectangle, the function is cubic in the variable . A complete asymptotic expansion of the solution at is constructed, and its uniformity in a closed rectangle is substantiated. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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