DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Sun-Ho | ko |
dc.contributor.author | Kwon, Soonsik | ko |
dc.date.accessioned | 2016-11-09T05:31:23Z | - |
dc.date.available | 2016-11-09T05:31:23Z | - |
dc.date.created | 2016-10-19 | - |
dc.date.created | 2016-10-19 | - |
dc.date.created | 2016-10-19 | - |
dc.date.issued | 2016-09 | - |
dc.identifier.citation | NONLINEARITY, v.29, no.9, pp.2755 - 2774 | - |
dc.identifier.issn | 0951-7715 | - |
dc.identifier.uri | http://hdl.handle.net/10203/213783 | - |
dc.description.abstract | We study the asymptotic behavior of dispersing solutions to the Vlasov-Poisson system. Due to long interaction range, we do not expect linear scattering (Choi S-H and Ha S-Y 2011 SIAM J. Math. Anal. 43 2050-77). Instead, we prove a modified scattering result (or long range scattering result) of small and dispersing solutions. We find a quasi-free forward trajectory so that along the trajectory, the solution has an asymptotic limit. We extract the logarithmic growth part of the Duhamel term, and absorb it into the quasi-free trajectory, then the remaining part enjoys faster decay so as to obtain the asymptotic state | - |
dc.language | English | - |
dc.publisher | IOP PUBLISHING LTD | - |
dc.title | Modified scattering for the Vlasov-Poisson system | - |
dc.type | Article | - |
dc.identifier.wosid | 000383977100009 | - |
dc.identifier.scopusid | 2-s2.0-84988008147 | - |
dc.type.rims | ART | - |
dc.citation.volume | 29 | - |
dc.citation.issue | 9 | - |
dc.citation.beginningpage | 2755 | - |
dc.citation.endingpage | 2774 | - |
dc.citation.publicationname | NONLINEARITY | - |
dc.identifier.doi | 10.1088/0951-7715/29/9/2755 | - |
dc.contributor.localauthor | Kwon, Soonsik | - |
dc.contributor.nonIdAuthor | Choi, Sun-Ho | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Vlasov-Poisson | - |
dc.subject.keywordAuthor | modified scattering | - |
dc.subject.keywordAuthor | asymptotic behavior | - |
dc.subject.keywordPlus | LONG-RANGE SCATTERING | - |
dc.subject.keywordPlus | NONLINEAR SCHRODINGER-EQUATIONS | - |
dc.subject.keywordPlus | SYMMETRIC-SOLUTIONS | - |
dc.subject.keywordPlus | HARTREE-EQUATIONS | - |
dc.subject.keywordPlus | GLOBAL EXISTENCE | - |
dc.subject.keywordPlus | SPACE DIMENSION | - |
dc.subject.keywordPlus | INITIAL DATA | - |
dc.subject.keywordPlus | REGULARITY | - |
dc.subject.keywordPlus | STABILITY | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.