DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chung, Jaywan | ko |
dc.contributor.author | Kim, Yong Jung | ko |
dc.contributor.author | Slemrod, Marshall | ko |
dc.date.accessioned | 2014-09-04T08:40:21Z | - |
dc.date.available | 2014-09-04T08:40:21Z | - |
dc.date.created | 2014-08-25 | - |
dc.date.created | 2014-08-25 | - |
dc.date.issued | 2014-10 | - |
dc.identifier.citation | JOURNAL OF DIFFERENTIAL EQUATIONS, v.257, no.7, pp.2520 - 2542 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | http://hdl.handle.net/10203/190123 | - |
dc.description.abstract | Existence, uniqueness and regularity of the global weak solution to the Burgers equation with a reaction term is shown when the reaction term is given as a time independent point source and produces heat constantly. An explicit solution is obtained and used to show the long time asymptotic convergence of the solution to a steady state. For the heat equation case without any convection the solution diverges everywhere as time increases and hence it is the first order convection term that gives the compactness of the solution trajectory of the Burgers equation with reaction. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | DIFFUSION-CONVECTION EQUATION | - |
dc.subject | ASYMPTOTIC-BEHAVIOR | - |
dc.subject | POSITIVE SOLUTIONS | - |
dc.subject | SPACE | - |
dc.title | An explicit solution of Burgers equation with stationary point source | - |
dc.type | Article | - |
dc.identifier.wosid | 000339458000010 | - |
dc.identifier.scopusid | 2-s2.0-84904066940 | - |
dc.type.rims | ART | - |
dc.citation.volume | 257 | - |
dc.citation.issue | 7 | - |
dc.citation.beginningpage | 2520 | - |
dc.citation.endingpage | 2542 | - |
dc.citation.publicationname | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
dc.identifier.doi | 10.1016/j.jde.2014.05.046 | - |
dc.contributor.localauthor | Kim, Yong Jung | - |
dc.contributor.nonIdAuthor | Chung, Jaywan | - |
dc.contributor.nonIdAuthor | Slemrod, Marshall | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Cole-Hopf transformation | - |
dc.subject.keywordAuthor | Heat equation | - |
dc.subject.keywordAuthor | Long time asymptotics | - |
dc.subject.keywordPlus | DIFFUSION-CONVECTION EQUATION | - |
dc.subject.keywordPlus | ASYMPTOTIC-BEHAVIOR | - |
dc.subject.keywordPlus | POSITIVE SOLUTIONS | - |
dc.subject.keywordPlus | SPACE | - |
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