DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kang, Moon-Jin | ko |
dc.contributor.author | Kim, Jeongho | ko |
dc.date.accessioned | 2020-10-22T08:55:05Z | - |
dc.date.available | 2020-10-22T08:55:05Z | - |
dc.date.created | 2020-10-19 | - |
dc.date.created | 2020-10-19 | - |
dc.date.created | 2020-10-19 | - |
dc.date.created | 2020-10-19 | - |
dc.date.created | 2020-10-19 | - |
dc.date.issued | 2020-09 | - |
dc.identifier.citation | COMMUNICATIONS IN MATHEMATICAL SCIENCES, v.18, no.5, pp.1221 - 1231 | - |
dc.identifier.issn | 1539-6746 | - |
dc.identifier.uri | http://hdl.handle.net/10203/276896 | - |
dc.description.abstract | In this paper, we study the propagation of the mono-kinetic distribution in the CuckerSmale-type kinetic equations. More precisely, if the initial distribution is a Dirac mass for the variables other than the spatial variable, then we prove that this "mono-kinetic" structure propagates in time. For that, we first obtain the stability estimate of measure-valued solutions to the kinetic equation, by which we ensure the uniqueness of the mono-kinetic solution in the class of measure-valued solutions with compact supports. We then show that the mono-kinetic distribution is a special measure-valued solution. The uniqueness of the measure-valued solution implies the desired propagation of mono-kinetic structure. | - |
dc.language | English | - |
dc.publisher | INT PRESS BOSTON, INC | - |
dc.title | PROPAGATION OF THE MONO-KINETIC SOLUTION IN THE CUCKER-SMALE-TYPE KINETIC EQUATIONS | - |
dc.type | Article | - |
dc.identifier.wosid | 000574671100003 | - |
dc.identifier.scopusid | 2-s2.0-85092456993 | - |
dc.type.rims | ART | - |
dc.citation.volume | 18 | - |
dc.citation.issue | 5 | - |
dc.citation.beginningpage | 1221 | - |
dc.citation.endingpage | 1231 | - |
dc.citation.publicationname | COMMUNICATIONS IN MATHEMATICAL SCIENCES | - |
dc.identifier.doi | 10.4310/CMS.2020.V18.N5.A3 | - |
dc.contributor.localauthor | Kang, Moon-Jin | - |
dc.contributor.nonIdAuthor | Kim, Jeongho | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | hydrodynamic equations | - |
dc.subject.keywordAuthor | kinetic equation | - |
dc.subject.keywordAuthor | mono-kinetic solution | - |
dc.subject.keywordAuthor | the Cucker-Smale model | - |
dc.subject.keywordAuthor | the thermomechanical Cucker-Smale model | - |
dc.subject.keywordPlus | STRONG LOCAL ALIGNMENT | - |
dc.subject.keywordPlus | MODEL | - |
dc.subject.keywordPlus | SYSTEM | - |
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