DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bae, Myoungjean | ko |
dc.contributor.author | Feldman, Mikhail | ko |
dc.date.accessioned | 2021-02-06T02:10:11Z | - |
dc.date.available | 2021-02-06T02:10:11Z | - |
dc.date.created | 2021-02-06 | - |
dc.date.issued | 2011-09 | - |
dc.identifier.citation | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, v.201, no.3, pp.777 - 840 | - |
dc.identifier.issn | 0003-9527 | - |
dc.identifier.uri | http://hdl.handle.net/10203/280623 | - |
dc.description.abstract | We establish existence, uniqueness and stability of transonic shocks for a steady compressible non-isentropic potential flow system in a multidimensional divergent nozzle with an arbitrary smooth cross-section, for a prescribed exit pressure. The proof is based on solving a free boundary problem for a system of partial differential equations consisting of an elliptic equation and a transport equation. In the process, we obtain unique solvability for a class of transport equations with velocity fields of weak regularity (non-Lipschitz), an infinite dimensional weak implicit mapping theorem which does not require continuous Fr,chet differentiability, and regularity theory for a class of elliptic partial differential equations with discontinuous oblique boundary conditions. | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.title | Transonic Shocks in Multidimensional Divergent Nozzles | - |
dc.type | Article | - |
dc.identifier.wosid | 000293631200002 | - |
dc.identifier.scopusid | 2-s2.0-79961173294 | - |
dc.type.rims | ART | - |
dc.citation.volume | 201 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 777 | - |
dc.citation.endingpage | 840 | - |
dc.citation.publicationname | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | - |
dc.identifier.doi | 10.1007/s00205-011-0424-0 | - |
dc.contributor.localauthor | Bae, Myoungjean | - |
dc.contributor.nonIdAuthor | Feldman, Mikhail | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | FREE-BOUNDARY PROBLEMS | - |
dc.subject.keywordPlus | EULER SYSTEMS | - |
dc.subject.keywordPlus | STABILITY | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.subject.keywordPlus | FLOWS | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | DUCT | - |
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