Regularity and derivative bounds for a convection-diffusion problem with Neumann boundary conditions on characteristic boundaries

DOI10.4171/ZAA/1404zbMath1194.35038OpenAlexW2032609684MaRDI QIDQ961989

Aidan Naughton, Martin Stynes

Publication date: 1 April 2010

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=29&iss=2&rank=3

zbMATH Keywords

Dirichlet conditionsNeumann conditionsunit squarecharacteristic boundary layercorner compatibility

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) A priori estimates in context of PDEs (35B45) General theory of PDEs and systems of PDEs with constant coefficients (35E20)

Cites Work

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• Sharpened bounds for corner singularities and boundary layers in a simple convection-diffusion problem
• Linear and quasilinear elliptic equations
• Uniform A Priori Estimates for Singularly Perturbed Elliptic Equations in Multidimensions
• A Robust Method of Improved Order for Convection-Diffusion Problems in a Domain with Characteristic Boundaries
• Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem

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