DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bae, Myoungjean | ko |
dc.contributor.author | Park, Hyangdong | ko |
dc.date.accessioned | 2021-02-06T01:50:12Z | - |
dc.date.available | 2021-02-06T01:50:12Z | - |
dc.date.created | 2021-02-06 | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | SIAM JOURNAL ON MATHEMATICAL ANALYSIS, v.51, no.3, pp.1730 - 1760 | - |
dc.identifier.issn | 0036-1410 | - |
dc.identifier.uri | http://hdl.handle.net/10203/280614 | - |
dc.description.abstract | We prove the existence of a subsonic weak solution (u, rho, p) to a steady Euler system in a two-dimensional infinitely long nozzle when prescribing the value of the entropy (= p/rho gamma) at the entrance by a piecewise C-2 function with a discontinuity at a point. Due to the variable entropy condition with a discontinuity at the entrance, the corresponding solution has a nonzero vorticity and contains a contact discontinuity x(2) = g(D)(x(1)). We construct such a solution via Helmholtz decomposition. The key step is to decompose the Rankine-Hugoniot conditions on the contact discontinuity via Helmholtz decomposition so that the compactness of approximated solutions can be achieved. Then we apply the method of iteration to obtain a piecewise smooth subsonic flow with a contact discontinuity and nonzero vorticity. We also analyze the asymptotic behavior of the solution at far field. | - |
dc.language | English | - |
dc.publisher | SIAM PUBLICATIONS | - |
dc.title | CONTACT DISCONTINUITIES FOR 2-DIMENSIONAL INVISCID COMPRESSIBLE FLOWS IN INFINITELY LONG NOZZLES | - |
dc.type | Article | - |
dc.identifier.wosid | 000473082300006 | - |
dc.identifier.scopusid | 2-s2.0-85069631263 | - |
dc.type.rims | ART | - |
dc.citation.volume | 51 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 1730 | - |
dc.citation.endingpage | 1760 | - |
dc.citation.publicationname | SIAM JOURNAL ON MATHEMATICAL ANALYSIS | - |
dc.identifier.doi | 10.1137/18M1219540 | - |
dc.contributor.localauthor | Bae, Myoungjean | - |
dc.contributor.nonIdAuthor | Park, Hyangdong | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | contact discontinuity | - |
dc.subject.keywordAuthor | free boundary problem | - |
dc.subject.keywordAuthor | Helmholtz decomposition | - |
dc.subject.keywordAuthor | infinite nozzle | - |
dc.subject.keywordAuthor | steady Euler system | - |
dc.subject.keywordAuthor | vorticity | - |
dc.subject.keywordAuthor | asymptotic state | - |
dc.subject.keywordAuthor | compressible | - |
dc.subject.keywordAuthor | inviscid | - |
dc.subject.keywordAuthor | subsonic | - |
dc.subject.keywordPlus | SUBSONIC EULER FLOWS | - |
dc.subject.keywordPlus | LARGE VORTICITY | - |
dc.subject.keywordPlus | STABILITY | - |
dc.subject.keywordPlus | SYSTEM | - |
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