A solution decomposition for a singularly perturbed fourth-order problem

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

Abstract

We consider a singularly perturbed fourth-order problem with third-order terms on the unit square. With a formal power series approach, we decompose the solution into solutions of reduced (third-order) problems and various layer parts. The existence of unique solutions for the problem itself and for the reduced third-order problems is also addressed. To our knowledge, this paper is a first attempt for a solution decomposition of such problems.

Details

OriginalspracheEnglisch
Seiten (von - bis)77-100
Seitenumfang24
FachzeitschriftAnalysis : international mathematical journal of analysis and its applications
Jahrgang37
Ausgabenummer2
PublikationsstatusVeröffentlicht - 1 Mai 2017
Peer-Review-StatusJa

Externe IDs

ORCID /0000-0002-2458-1597/work/142239727

Schlagworte

Schlagwörter

  • Asymptotic expansion, boundary layers, fourth-order problem, singular perturbations