On a Type I Singularity Condition in Terms of the Pressure for the Euler Equations in Double-struck capital R-3
DC Field | Value | Language |
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dc.contributor.author | Chae, Dongho | - |
dc.contributor.author | Constantin, Peter | - |
dc.date.accessioned | 2022-04-04T06:40:14Z | - |
dc.date.available | 2022-04-04T06:40:14Z | - |
dc.date.issued | 2022-05 | - |
dc.identifier.issn | 1073-7928 | - |
dc.identifier.issn | 1687-0247 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/55760 | - |
dc.description.abstract | We prove a blow up criterion in terms of the Hessian of the pressure of smooth solutions u epsilon C([0, T); W-2,W-q(R-3)), q > 3 of the incompressible Euler equations. We show that a blow up at t = T happens only if integral(T)(0) integral(t)(0) {integral(s)(0) parallel to D-2 p(tau)parallel to(L infinity) d tau exp (integral(t)(0) integral(sigma)(0) parallel to D(2)p(tau)parallel to parallel to(L infinity) d tau d sigma)} dsdt = +infinity. As consequences of this criterion we show that there is no blow up at t = T if parallel to D(2)p(t)L-infinity 8 <= c/(T-t)(2) with c 1 as t NE arrow T. Under the additional assumption of integral(T)(0) parallel to u(t)parallel to(L infinity(B(x0,rho)))dt < +infinity, we obtain localized versions of these results. | - |
dc.format.extent | 11 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | OXFORD UNIV PRESS | - |
dc.title | On a Type I Singularity Condition in Terms of the Pressure for the Euler Equations in Double-struck capital R-3 | - |
dc.type | Article | - |
dc.identifier.doi | 10.1093/imrn/rnab014 | - |
dc.identifier.bibliographicCitation | INTERNATIONAL MATHEMATICS RESEARCH NOTICES, v.2022, no.12, pp 9013 - 9023 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.wosid | 000755670500001 | - |
dc.identifier.scopusid | 2-s2.0-85132948623 | - |
dc.citation.endPage | 9023 | - |
dc.citation.number | 12 | - |
dc.citation.startPage | 9013 | - |
dc.citation.title | INTERNATIONAL MATHEMATICS RESEARCH NOTICES | - |
dc.citation.volume | 2022 | - |
dc.type.docType | Article | - |
dc.publisher.location | 영국 | - |
dc.subject.keywordPlus | FINITE-TIME SINGULARITIES | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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