On the existence of generalized solutions to a spatio-temporal predator-prey system
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2925 | |
| dc.contributor.author | Hömberg, Dietmar | |
| dc.contributor.author | Lasarzik, Robert | |
| dc.contributor.author | Plato, Luisa | |
| dc.date.accessioned | 2022-07-08T13:04:39Z | |
| dc.date.available | 2022-07-08T13:04:39Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | In this paper we consider a pair of coupled non-linear partial differential equations describing the interaction of a predator-prey pair. We introduce a concept of generalized solutions and show the existence of such solutions in all space dimension with the aid of a regularizing term, that is motivated by overcrowding phenomena. Additionally, we prove the weak-strong uniqueness of these generalized solutions and the existence of strong solutions at least locally-in-time for space dimension two and three. | eng |
| dc.description.version | publishedVersion | eng |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9683 | |
| dc.identifier.uri | https://doi.org/10.34657/8721 | |
| dc.language.iso | eng | |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
| dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2925 | |
| dc.relation.issn | 2198-5855 | |
| 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 | |
| dc.subject.other | Generalized solution | eng |
| dc.subject.other | nonlinear coupled PDEs | eng |
| dc.subject.other | weak-strong uniqueness | eng |
| dc.title | On the existence of generalized solutions to a spatio-temporal predator-prey system | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| dcterms.extent | 35 S. | |
| tib.accessRights | openAccess | |
| wgl.contributor | WIAS | |
| wgl.subject | Mathematik | |
| wgl.type | Report / Forschungsbericht / Arbeitspapier |
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