DC Field | Value | Language |
---|---|---|
dc.contributor.author | LEE, DONGHYUN | - |
dc.date.accessioned | 2018-12-13T07:43:29Z | - |
dc.date.available | 2018-12-13T07:43:29Z | - |
dc.date.created | 2018-11-28 | - |
dc.date.issued | 2018-08 | - |
dc.identifier.issn | 1539-6746 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/94512 | - |
dc.description.abstract | We show local well-posedness of fluid-vacuum free-boundary magnetohydrodynamic (MHD) with both kinematic viscosity and magnetic diffusivity under the gravity force. We consider three-dimensional problem with finite depth and impose zero magnetic field condition on the free boundary and in vacuum. Sobolev-Slobodetskii space (fractional Sobolev space) is used to perform energy estimates. Main difficulty is to control strong nonlinear couplings between velocity and magnetic fields. In [D. Lee, SIAM J. Math. Anal., 49(4):2710-2789, 2017], we send both kinematic viscosity and magnetic diffusivity to zero with same speed to get ideal (inviscid) free-boundary magnetohydrodynamics using the result of this paper. | - |
dc.language | English | - |
dc.publisher | INT PRESS BOSTON | - |
dc.relation.isPartOf | Communications in Mathematical Sciences | - |
dc.title | INITIAL VALUE PROBLEM FOR THE FREE-BOUNDARY MAGNETOHYDRODYNAMICS WITH ZERO MAGNETIC BOUNDARY CONDITION | - |
dc.type | Article | - |
dc.identifier.doi | 10.4310/CMS.2018.v16.n3.a1 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | Communications in Mathematical Sciences, v.16, no.3, pp.589 - 615 | - |
dc.identifier.wosid | 000443179800001 | - |
dc.citation.endPage | 615 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 589 | - |
dc.citation.title | Communications in Mathematical Sciences | - |
dc.citation.volume | 16 | - |
dc.contributor.affiliatedAuthor | LEE, DONGHYUN | - |
dc.identifier.scopusid | 2-s2.0-85053271755 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | NAVIER-STOKES EQUATIONS | - |
dc.subject.keywordPlus | VISCOUS SURFACE-WAVES | - |
dc.subject.keywordPlus | TIME EXISTENCE | - |
dc.subject.keywordPlus | REGULARITY | - |
dc.subject.keywordPlus | TENSION | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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