DC Field | Value | Language |
---|---|---|
dc.contributor.author | Hwang, H.J. | - |
dc.contributor.author | Jang, J.W. | - |
dc.date.accessioned | 2021-06-01T04:05:07Z | - |
dc.date.available | 2021-06-01T04:05:07Z | - |
dc.date.created | 2020-12-18 | - |
dc.date.issued | 2020-12 | - |
dc.identifier.issn | 0002-9939 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/105408 | - |
dc.description.abstract | We consider the Landau equation nearby the Maxwellian equilibrium. Based on the assumptions on the boundedness of mass, energy, and entropy in the sense of Silvestre [J. Diffential Equations 262 (2017), no. 3, 3034-3055], we enjoy the locally uniform ellipticity of the linearized Landau operator to derive local-in-time L-x,v(infinity) uniform bounds. Then we establish a compactness theorem for the sequence of solutions using the L-x,v(infinity) bounds and the standard velocity averaging lemma. Finally, we pass to the limit and prove the local existence of a weak solution to the Cauchy problem. The highlight of this work is in the low-regularity setting where we only assume that the initial condition f(0) is bounded in L-x,v(infinity) whose size determines the maximal time-interval of the existence of the weak solution. | - |
dc.language | English | - |
dc.publisher | AMER MATHEMATICAL SOC | - |
dc.relation.isPartOf | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.title | COMPACTNESS PROPERTIES AND LOCAL EXISTENCE OF WEAK SOLUTIONS TO THE LANDAU EQUATION | - |
dc.type | Article | - |
dc.identifier.doi | 10.1090/proc/15173 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.148, no.12, pp.5141 - 5157 | - |
dc.identifier.wosid | 000583809400009 | - |
dc.citation.endPage | 5157 | - |
dc.citation.number | 12 | - |
dc.citation.startPage | 5141 | - |
dc.citation.title | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 148 | - |
dc.contributor.affiliatedAuthor | Hwang, H.J. | - |
dc.contributor.affiliatedAuthor | Jang, J.W. | - |
dc.identifier.scopusid | 2-s2.0-85094847424 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | C-ALPHA REGULARITY | - |
dc.subject.keywordPlus | HARNACK INEQUALITY | - |
dc.subject.keywordPlus | CAUCHY-PROBLEM | - |
dc.subject.keywordPlus | BOLTZMANN | - |
dc.subject.keywordAuthor | Boltzmann equation | - |
dc.subject.keywordAuthor | Landau equation | - |
dc.subject.keywordAuthor | collisional kinetic theory | - |
dc.subject.keywordAuthor | velocity averages | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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