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

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

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

OriginalspracheEnglisch
Seiten (von - bis)1521-1545
Seitenumfang25
FachzeitschriftJournal of differential equations
Jahrgang252
Ausgabenummer2
PublikationsstatusVeröffentlicht - 15 Jan. 2012
Peer-Review-StatusJa

Externe IDs

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

Schlagworte

ASJC Scopus Sachgebiete

Schlagwörter

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