Green's function estimates for a singularly perturbed convection-diffusion problem

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

Abstract

We consider a singularly perturbed convection-diffusion problem posed in the unit square with a horizontal convective direction. Its solutions exhibit parabolic and exponential boundary layers. Sharp estimates of the Green's function and its first- and second-order derivatives are derived in the L1 norm. The dependence of these estimates on the small diffusion parameter is shown explicitly. The obtained estimates will be used in a forthcoming numerical analysis of the considered problem.

Details

Original languageEnglish
Pages (from-to)1521-1545
Number of pages25
JournalJournal of differential equations
Volume252
Issue number2
Publication statusPublished - 15 Jan 2012
Peer-reviewedYes

External IDs

ORCID /0000-0002-2458-1597/work/142239730

Keywords

ASJC Scopus subject areas

Keywords

  • 35J08, 35J25, 65N15, Convection-diffusion, Green's function, Singular perturbations