Logarithmically regularized inviscid models in borderline sobolev spaces
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chae, Dongho | - |
dc.contributor.author | Wu, Jiahong | - |
dc.date.available | 2019-05-29T05:36:24Z | - |
dc.date.issued | 2012-11 | - |
dc.identifier.issn | 0022-2488 | - |
dc.identifier.issn | 1089-7658 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/20079 | - |
dc.description.abstract | Several inviscid models in hydrodynamics and geophysics such as the incompressible Euler vorticity equations, the surface quasi-geostrophic equation, and the Boussinesq equations are not known to have even local well-posedness in the corresponding borderline Sobolev spaces. Here H-s is referred to as a borderline Sobolev space if the L-infinity-norm of the gradient of the velocity is not bounded by the H-s-norm of the solution but by the H-(s) over tilde-norm for any (s) over tilde > s. This paper establishes the local well-posedness of the logarithmically regularized counterparts of these inviscid models in the borderline Sobolev spaces. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4725531] | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | AMER INST PHYSICS | - |
dc.title | Logarithmically regularized inviscid models in borderline sobolev spaces | - |
dc.type | Article | - |
dc.identifier.doi | 10.1063/1.4725531 | - |
dc.identifier.bibliographicCitation | JOURNAL OF MATHEMATICAL PHYSICS, v.53, no.11 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.wosid | 000311964100002 | - |
dc.identifier.scopusid | 2-s2.0-84870526524 | - |
dc.citation.number | 11 | - |
dc.citation.title | JOURNAL OF MATHEMATICAL PHYSICS | - |
dc.citation.volume | 53 | - |
dc.type.docType | Article | - |
dc.publisher.location | 미국 | - |
dc.subject.keywordAuthor | partial differential equations | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Physics, Mathematical | - |
dc.description.journalRegisteredClass | sci | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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