DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bae, Myoungjean | ko |
dc.contributor.author | Park, Hyangdong | ko |
dc.date.accessioned | 2021-02-06T01:50:09Z | - |
dc.date.available | 2021-02-06T01:50:09Z | - |
dc.date.created | 2021-02-06 | - |
dc.date.issued | 2019-08 | - |
dc.identifier.citation | JOURNAL OF DIFFERENTIAL EQUATIONS, v.267, no.5, pp.2824 - 2873 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | http://hdl.handle.net/10203/280613 | - |
dc.description.abstract | We prove the existence of a subsonic axisymmetric weak solution (u, rho, p) with u = u(x)e(x)+ u(r)e(r) + u(theta)e(theta) ( )to steady Euler system in a three-dimensional infinitely long cylinder N when prescribing the values of the entropy (= P/rho(gamma) ) and angular momentum density (= ru(theta)) at the entrance by piecewise C-2 functions with a discontinuity on a curve on the entrance of N. Due to the variable entropy and angular momentum density (=swirl) conditions with a discontinuity at the entrance, the corresponding solution has a nonzero vorticity, nonzero swirl, and contains a contact discontinuity r = g(D)(x). 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 solution and analyze the asymptotic behavior of the solution at far field. (C) 2019 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Contact discontinuities for 3-D axisymmetric inviscid compressible flows in infinitely long cylinders | - |
dc.type | Article | - |
dc.identifier.wosid | 000468614700004 | - |
dc.identifier.scopusid | 2-s2.0-85063422243 | - |
dc.type.rims | ART | - |
dc.citation.volume | 267 | - |
dc.citation.issue | 5 | - |
dc.citation.beginningpage | 2824 | - |
dc.citation.endingpage | 2873 | - |
dc.citation.publicationname | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
dc.identifier.doi | 10.1016/j.jde.2019.03.029 | - |
dc.contributor.localauthor | Bae, Myoungjean | - |
dc.contributor.nonIdAuthor | Park, Hyangdong | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Angular momentum density | - |
dc.subject.keywordAuthor | Contact discontinuity | - |
dc.subject.keywordAuthor | Free boundary problem | - |
dc.subject.keywordAuthor | Helmholtz decomposition | - |
dc.subject.keywordAuthor | Steady Euler system | - |
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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