DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kang, Moon-Jin | ko |
dc.contributor.author | Vasseur, Alexis F. | ko |
dc.date.accessioned | 2020-12-18T08:50:18Z | - |
dc.date.available | 2020-12-18T08:50:18Z | - |
dc.date.created | 2020-12-18 | - |
dc.date.issued | 2015-10 | - |
dc.identifier.citation | MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, v.25, no.11 | - |
dc.identifier.issn | 0218-2025 | - |
dc.identifier.uri | http://hdl.handle.net/10203/278723 | - |
dc.description.abstract | We consider the hydrodynamic limit of a collisionless and non-diffusive kinetic equation under strong local alignment regime. The local alignment is first considered by Karper, Mellet and Trivisa in [On strong local alignment in the kinetic Cucker-Smale model, in Hyperbolic Conservation Laws and Related Analysis with Applications, Springer Proceedings in Mathematics & Statistics, Vol. 49 (Springer, 2014), pp. 227-242], as a singular limit of an alignment force proposed by Motsch and Tadmor in [A new model for self-organized dynamics and its flocking behavior, J. Statist. Phys. 141 (2011) 923-947]. As the local alignment strongly dominates, a weak solution to the kinetic equation under consideration converges to the local equilibrium, which has the form of mono-kinetic distribution. We use the relative entropy method and weak compactness to rigorously justify the weak convergence of our kinetic equation to the pressureless Euler system. | - |
dc.language | English | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.title | Asymptotic analysis of Vlasov-type equations under strong local alignment regime | - |
dc.type | Article | - |
dc.identifier.wosid | 000357812900004 | - |
dc.identifier.scopusid | 2-s2.0-84954026705 | - |
dc.type.rims | ART | - |
dc.citation.volume | 25 | - |
dc.citation.issue | 11 | - |
dc.citation.publicationname | MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | - |
dc.identifier.doi | 10.1142/S0218202515500542 | - |
dc.contributor.localauthor | Kang, Moon-Jin | - |
dc.contributor.nonIdAuthor | Vasseur, Alexis F. | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Hydrodynamic limit | - |
dc.subject.keywordAuthor | Vlasov-type equation | - |
dc.subject.keywordAuthor | strong local alignment | - |
dc.subject.keywordAuthor | pressureless Euler system | - |
dc.subject.keywordPlus | FLUID DYNAMIC LIMITS | - |
dc.subject.keywordPlus | BOLTZMANN-EQUATION | - |
dc.subject.keywordPlus | KINETIC-EQUATIONS | - |
dc.subject.keywordPlus | RELATIVE ENTROPY | - |
dc.subject.keywordPlus | HYDRODYNAMIC LIMIT | - |
dc.subject.keywordPlus | CONSERVATION-LAWS | - |
dc.subject.keywordPlus | FLOCKING DYNAMICS | - |
dc.subject.keywordPlus | WEAK SOLUTIONS | - |
dc.subject.keywordPlus | GAS-DYNAMICS | - |
dc.subject.keywordPlus | PARTICLES | - |
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