On a class of singular perturbation problem

DOI10.1016/0022-247X(64)90005-8zbMath0138.35802OpenAlexW2039770620MaRDI QIDQ2522026

James K. Knowles, Roger E. Messick

Publication date: 1964

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(64)90005-8

zbMATH Keywords

partial differential equations

Related Items (13)

Iterative analytic approximation to nonlinear convection dominated systems ⋮ Zur Erlernung optimalen Verhaltens in Entscheidungssituationen ⋮ Analytic solution of nonlinear singularly perturbed initial value problems through iteration ⋮ An optimal asymptotic-numerical method for convection dominated systems having exponential boundary layers ⋮ An Asymptotic-Numerical Method for a Class of Weakly Coupled System of Singularly Perturbed Convection-Diffusion Equations ⋮ Analytic approximation to delayed convection dominated systems through transforms ⋮ Asymptotic approximations for a singularly perturbed convection-diffusion problem with discontinuous data in a sector ⋮ Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type ⋮ The first boundary value problem for certain linear elliptic differential equations involving two small parameters ⋮ Boundary layers for almost characteristic boundaries ⋮ Parabolic equations with a small parameter and discontinuous data ⋮ Topics in singular perturbations ⋮ An elliptic perturbation problem with almost characteristic boundaries

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 \(\epsilon\)
• Asymptotic solution of boundary value problems for the differential equation \(\Delta U+\lambda\partial U/\partial x=\lambda f(x,y)\)
• On the theory of the wind-driven ocean circulation
• Boundary Layer Problems in Applied Mechanics

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