On existence and asymptotic stability of periodic solutions with an interior layer of reaction-advection-diffusion equations
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1683 | |
dc.contributor.author | Nefedov, Nikolai N. | |
dc.contributor.author | Recke, Lutz | |
dc.contributor.author | Schneider, Klaus R. | |
dc.date.accessioned | 2016-03-24T17:39:06Z | |
dc.date.available | 2019-06-28T08:09:02Z | |
dc.date.issued | 2012 | |
dc.description.abstract | We consider a singularly perturbed parabolic periodic boundary value problem for a reaction-advection-diffusion equation. We construct the interior layer type formal asymptotics and propose a modified procedure to get asymptotic lower and upper solutions. By using sufficiently precise lower and upper solutions, we prove the existence of a periodic solution with an interior layer and estimate the accuracy of its asymptotics. Moreover, we are able to establish the asymptotic stability of this solution with interior layer. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/2837 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2623 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Singularly perturbed parabolic periodic problems | eng |
dc.subject.other | exponential asymptotic stability | eng |
dc.subject.other | Krein- Rutman theorem | eng |
dc.subject.other | lower and upper solutions | eng |
dc.title | On existence and asymptotic stability of periodic solutions with an interior layer of reaction-advection-diffusion equations | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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