On the boundary layer methods

DOI10.1007/BF01895454zbMath0611.35003MaRDI QIDQ1087711

Fu-ru Jiang

Publication date: 1981

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

matched asymptotic expansionssingular perturbationsmultiple scalesboundary layer methodsmethod of Visik- Lyusternik

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (9)

The problems of the nonlinear unsymmetrical bending for cylindrically orthotropic circular plate. I ⋮ Computer computation of the method of multiple scales -- Dirichlet problem for a class of system of nonlinear differential equations ⋮ The problems of the nonlinear unsymmetrical bending for cylindrically orthotropic circular plate. II ⋮ The problem of the nonlinear unsymmetrical bending for cylindrically orthotropic circular thin plate with variable thickness ⋮ The problems of nonlinear bending for orthotropic rectangular plate with four clamped edges ⋮ An application of the method of multiple scales to magnetohydrodynamic flow ⋮ On singular perturbation for a nonlinear initial-boundary value problem. II ⋮ Uniformly valid asymptotic solutions of the nonlinear unsymmetrical bending for orthotropic rectangular thin plate of four clamped edges with variable thickness ⋮ On the problems of buckling of an annular thin plate

Cites Work

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• The first boundary value problem for \(\epsilon\Delta u+A(x,y)u_x+B(x,y)u_y+C(x,y)u =D(x,y)\) for small \(\epsilon\)
• An expansion method for singular perturbation problems
• Singular Perturbations of Elliptic Equations. I

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