DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Yong Jung | ko |
dc.contributor.author | McCann, RJ | ko |
dc.date.accessioned | 2013-03-07T00:26:42Z | - |
dc.date.available | 2013-03-07T00:26:42Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2005-08 | - |
dc.identifier.citation | COMPTES RENDUS MATHEMATIQUE, v.341, no.3, pp.157 - 162 | - |
dc.identifier.issn | 1631-073X | - |
dc.identifier.uri | http://hdl.handle.net/10203/88938 | - |
dc.description.abstract | In many diffusive settings, initial disturbances will gradually disappear and all but their crudest features - such as size and location - will eventually be forgotten. Quantifying the rate at which this information is lost is sometimes a question of central interest. Here this rate is addressed for the fastest conservative nonlinearities in the singular diffusion equation u(t) = Delta(u(m)). (n-2)(+)/n < m <= n/(n-2), u, t >= 0, X is an element of R-n, which governs the decay of any integrable, compactly supported initial density towards a characteristically spreading self-similar profile. A potential theoretic comparison technique is outlined below which establishes the sharp 1/t conjectured power law rate of decay uniformly in relative error, and in weaker norms such as L-1(R-n). | - |
dc.language | English | - |
dc.publisher | ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER | - |
dc.subject | POROUS-MEDIUM EQUATION | - |
dc.subject | ASYMPTOTIC-BEHAVIOR | - |
dc.title | Sharp decay rates for the fastest conservative diffusions | - |
dc.type | Article | - |
dc.identifier.wosid | 000231327600005 | - |
dc.identifier.scopusid | 2-s2.0-23644442230 | - |
dc.type.rims | ART | - |
dc.citation.volume | 341 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 157 | - |
dc.citation.endingpage | 162 | - |
dc.citation.publicationname | COMPTES RENDUS MATHEMATIQUE | - |
dc.identifier.doi | 10.1016/j.crma.2005.06.025 | - |
dc.contributor.localauthor | Kim, Yong Jung | - |
dc.contributor.nonIdAuthor | McCann, RJ | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | POROUS-MEDIUM EQUATION | - |
dc.subject.keywordPlus | ASYMPTOTIC-BEHAVIOR | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.