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Article: The Cauchy problem for the two-dimensional Euler-Poisson system

TitleThe Cauchy problem for the two-dimensional Euler-Poisson system
Authors
KeywordsEuler-Poisson
Global well-posedness
Klein-Gordon
Normal form
Issue Date2014
Citation
Journal of the European Mathematical Society, 2014, v. 16, n. 10, p. 2211-2266 How to Cite?
AbstractThe Euler-Poisson system is a fundamental two-fluid model to describe the dynamics of the plasma consisting of compressible electrons and a uniform ion background. In the 3D case Guo [7] first constructed a global smooth irrotational solution by using the dispersive Klein-Gordon effect. It has been conjectured that the same result should hold in the two-dimensional case. In our recent work [13], we proved the existence of a family of smooth solutions by constructing the wave operators for the 2D system. In this work we completely settle the 2D Cauchy problem.
Persistent Identifierhttp://hdl.handle.net/10722/327019
ISSN
2023 Impact Factor: 2.5
2023 SCImago Journal Rankings: 3.251
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorLi, Dong-
dc.contributor.authorWu, Yifei-
dc.date.accessioned2023-03-31T05:28:12Z-
dc.date.available2023-03-31T05:28:12Z-
dc.date.issued2014-
dc.identifier.citationJournal of the European Mathematical Society, 2014, v. 16, n. 10, p. 2211-2266-
dc.identifier.issn1435-9855-
dc.identifier.urihttp://hdl.handle.net/10722/327019-
dc.description.abstractThe Euler-Poisson system is a fundamental two-fluid model to describe the dynamics of the plasma consisting of compressible electrons and a uniform ion background. In the 3D case Guo [7] first constructed a global smooth irrotational solution by using the dispersive Klein-Gordon effect. It has been conjectured that the same result should hold in the two-dimensional case. In our recent work [13], we proved the existence of a family of smooth solutions by constructing the wave operators for the 2D system. In this work we completely settle the 2D Cauchy problem.-
dc.languageeng-
dc.relation.ispartofJournal of the European Mathematical Society-
dc.subjectEuler-Poisson-
dc.subjectGlobal well-posedness-
dc.subjectKlein-Gordon-
dc.subjectNormal form-
dc.titleThe Cauchy problem for the two-dimensional Euler-Poisson system-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.4171/JEMS/486-
dc.identifier.scopuseid_2-s2.0-84908419493-
dc.identifier.volume16-
dc.identifier.issue10-
dc.identifier.spage2211-
dc.identifier.epage2266-
dc.identifier.isiWOS:000348090800005-

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