DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Yong Jung | ko |
dc.contributor.author | Tzavaras, AE | ko |
dc.date.accessioned | 2013-03-03T22:57:36Z | - |
dc.date.available | 2013-03-03T22:57:36Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2001-10 | - |
dc.identifier.citation | SIAM JOURNAL ON MATHEMATICAL ANALYSIS, v.33, no.3, pp.607 - 633 | - |
dc.identifier.issn | 0036-1410 | - |
dc.identifier.uri | http://hdl.handle.net/10203/80819 | - |
dc.description.abstract | We study the effect of viscosity on the large time behavior of the viscous Burgers equation by using a transformed version of Burgers ( in self-similar variables) that captures efficiently the mechanism of transition to the asymptotic states and allows us to estimate the time of evolution from an N-wave to the final stage of a diffusion wave. Then we construct certain special solutions of diffusive N-waves with unequal masses. Finally, using a set of similarity variables and a variant of the Cole Hopf transformation, we obtain an integrated Fokker Planck equation. The latter is solvable and provides an explicit solution of the viscous Burgers equation in a series of Hermite polynomials. This format captures the long-time-small-viscosity interplay, as the diffusion wave and the diffusive N-waves correspond, respectively, to the first two terms in the Hermite polynomial expansion. | - |
dc.language | English | - |
dc.publisher | SIAM PUBLICATIONS | - |
dc.subject | ASYMPTOTIC-BEHAVIOR | - |
dc.subject | CONSERVATION-LAWS | - |
dc.title | Diffusive N-waves and metastability in the burgers equation | - |
dc.type | Article | - |
dc.identifier.wosid | 000172892900006 | - |
dc.identifier.scopusid | 2-s2.0-0036347961 | - |
dc.type.rims | ART | - |
dc.citation.volume | 33 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 607 | - |
dc.citation.endingpage | 633 | - |
dc.citation.publicationname | SIAM JOURNAL ON MATHEMATICAL ANALYSIS | - |
dc.identifier.doi | 10.1137/S0036141000380516 | - |
dc.contributor.localauthor | Kim, Yong Jung | - |
dc.contributor.nonIdAuthor | Tzavaras, AE | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | diffusion waves | - |
dc.subject.keywordAuthor | diffusive N-waves | - |
dc.subject.keywordAuthor | convection-diffusion | - |
dc.subject.keywordAuthor | metastability | - |
dc.subject.keywordPlus | ASYMPTOTIC-BEHAVIOR | - |
dc.subject.keywordPlus | CONSERVATION-LAWS | - |
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