DC Field | Value | Language |
---|---|---|
dc.contributor.author | Gyounghun Ko | - |
dc.contributor.author | Donghyun Lee | - |
dc.contributor.author | Kwanghyuk Park | - |
dc.date.accessioned | 2022-03-18T08:50:08Z | - |
dc.date.available | 2022-03-18T08:50:08Z | - |
dc.date.created | 2021-12-22 | - |
dc.date.issued | 2022-01 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/110902 | - |
dc.description.abstract | In this paper, we deal with the (angular cut-off) Boltzmann equation with soft potential (-3 < gamma < 0). In particular, we construct a unique global solution in L-x,v(infinity) which converges to global equilibrium asymptot-ically provided that initial data has a large amplitude but with sufficiently small relative entropy. Because frequency multiplier is not uniformly positive anymore, unlike hard potential case, time-involved veloc-ity weight will be used to derive sub-exponential decay of the solution. Motivated by recent development of L-2-L-infinity approach also, we introduce some modified estimates of quadratic nonlinear terms. Linearized collision kernel will be treated in a subtle manner to control singularity of soft potential kernel. (C) 2021 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | Academic Press | - |
dc.relation.isPartOf | Journal of Differential Equations | - |
dc.title | The large amplitude solution of the Boltzmann equation with soft potential | - |
dc.type | Article | - |
dc.identifier.doi | 10.1016/j.jde.2021.10.041 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | Journal of Differential Equations, v.307, no.15, pp.297 - 347 | - |
dc.identifier.wosid | 000719629400009 | - |
dc.citation.endPage | 347 | - |
dc.citation.number | 15 | - |
dc.citation.startPage | 297 | - |
dc.citation.title | Journal of Differential Equations | - |
dc.citation.volume | 307 | - |
dc.contributor.affiliatedAuthor | Gyounghun Ko | - |
dc.contributor.affiliatedAuthor | Donghyun Lee | - |
dc.contributor.affiliatedAuthor | Kwanghyuk Park | - |
dc.identifier.scopusid | 2-s2.0-85118621880 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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