Euler's equations and the maximum principle
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chae, Dongho | - |
dc.date.available | 2019-03-08T17:58:28Z | - |
dc.date.issued | 2015-02 | - |
dc.identifier.issn | 0025-5831 | - |
dc.identifier.issn | 1432-1807 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/9892 | - |
dc.description.abstract | In this paper we use maximum principle in the far field region for the time dependent self-similar Euler equations to exclude discretely self-similar blow-up for the Euler equations of the incompressible fluid flows. Our decay conditions near spatial infinity of the blow-up profile are given explicitly in terms the coefficient in the equations. We also deduce triviality of the discretely self-similar solution to the magnetohydrodynamic system, under suitable decay conditions near spatial infinity than the previous one. Applying similar argument directly to the Euler equations, we obtain a priori estimate of the vorticity in the far field region. | - |
dc.format.extent | 16 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | SPRINGER HEIDELBERG | - |
dc.title | Euler's equations and the maximum principle | - |
dc.type | Article | - |
dc.identifier.doi | 10.1007/s00208-014-1063-1 | - |
dc.identifier.bibliographicCitation | MATHEMATISCHE ANNALEN, v.361, no.1-2, pp 51 - 66 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.wosid | 000348306200002 | - |
dc.identifier.scopusid | 2-s2.0-84938128853 | - |
dc.citation.endPage | 66 | - |
dc.citation.number | 1-2 | - |
dc.citation.startPage | 51 | - |
dc.citation.title | MATHEMATISCHE ANNALEN | - |
dc.citation.volume | 361 | - |
dc.type.docType | Article | - |
dc.publisher.location | 미국 | - |
dc.subject.keywordAuthor | 35Q31 | - |
dc.subject.keywordAuthor | 76B03 | - |
dc.subject.keywordAuthor | 76W05 | - |
dc.subject.keywordPlus | NAVIER-STOKES EQUATIONS | - |
dc.subject.keywordPlus | SELF-SIMILAR SOLUTIONS | - |
dc.subject.keywordPlus | SINGULARITIES | - |
dc.subject.keywordPlus | NONEXISTENCE | - |
dc.subject.keywordPlus | SIMILARITY | - |
dc.subject.keywordPlus | FLUIDS | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | sci | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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