Regularity and derivative bounds for a convection-diffusion problem with a Neumann outflow condition

DOI10.1016/j.jde.2009.07.030zbMath1181.35054OpenAlexW1968647150MaRDI QIDQ1038462

Aidan Naughton, Martin Stynes, R. Bruce Kellogg

Publication date: 18 November 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.07.030

zbMATH Keywords

regularitya priori boundsconvection-diffusionsingularly perturbedMikhlin multiplierNeumann outflow condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Transform methods (e.g., integral transforms) applied to PDEs (35A22) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (4)

A solution decomposition for a singularly perturbed fourth-order problem ⋮ Layers and corner singularities in singularly perturbed elliptic problems ⋮ Regularity and derivative bounds for a convection-diffusion problem with Neumann boundary conditions on characteristic boundaries ⋮ Estimates in Hölder classes for the solution of an inhomogeneous Dirichlet problem for a singularly perturbed homogeneous convection-diffusion equation

Cites Work

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• Corner singularities and boundary layers in a simple convection-diffusion problem
• A technique to prove parameter-uniform convergence for a singularly perturbed convection-diffusion equation
• Sharpened bounds for corner singularities and boundary layers in a simple convection-diffusion problem
• Linear and quasilinear elliptic equations
• Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem

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