A kinetic equation for the distribution of interaction clusters in rarefied gases
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2365 | |
| dc.contributor.author | Patterson, Robert I.A. | |
| dc.contributor.author | Simonella, Sergio | |
| dc.contributor.author | Wagner, Wolfgang | |
| dc.date.available | 2019-06-28T08:05:36Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | We consider a stochastic particle model governed by an arbitrary binary interaction kernel. A kinetic equation for the distribution of interaction clusters is established. Under some additional assumptions a recursive representation of the solution is found. For particular choices of the interaction kernel (including the Boltzmann case) several explicit formulas are obtained. These formulas are confirmed by numerical experiments. The experiments are also used to illustrate various conjectures and open problems. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 2198-5855 | |
| dc.identifier.uri | https://doi.org/10.34657/1837 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2324 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2365 | |
| 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 | Stochastic particle system | eng |
| dc.subject.other | interaction clusters | eng |
| dc.subject.other | rarefied gases | eng |
| dc.subject.other | kinetic equation | eng |
| dc.subject.other | numerical experiments | eng |
| dc.title | A kinetic equation for the distribution of interaction clusters in rarefied gases | 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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