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Article: Finite time singularities for a class of generalized surface quasi-geostrophic equations

TitleFinite time singularities for a class of generalized surface quasi-geostrophic equations
Authors
Dong, HongjieLi, Dong
KeywordsFinite-time singularities
Global well-posedness
Mellin transform
Quasi-geostrophic equations
Issue Date2008
Citation
Proceedings of the American Mathematical Society, 2008, v. 136, n. 7, p. 2555-2563 How to Cite?
DOI: http://dx.doi.org/10.1090/S0002-9939-08-09328-3
AbstractWe propose and study a class of generalized surface quasi-geostrophic equations. We show that in the inviscid case certain radial solutions develop gradient blow-up in finite time. In the critical dissipative case, the equations are globally well-posed with arbitrary H 1 initial data. © 2008 American Mathematical Society.
Persistent Identifierhttp://hdl.handle.net/10722/326612
ISSN
0002-9939
2023 Impact Factor: 0.8
2023 SCImago Journal Rankings: 0.837
ISI Accession Number ID
WOS:000254675200035

 

DC FieldValueLanguage
dc.contributor.authorDong, Hongjie-
dc.contributor.authorLi, Dong-
dc.date.accessioned2023-03-31T05:25:14Z-
dc.date.available2023-03-31T05:25:14Z-
dc.date.issued2008-
dc.identifier.citationProceedings of the American Mathematical Society, 2008, v. 136, n. 7, p. 2555-2563-
dc.identifier.issn0002-9939-
dc.identifier.urihttp://hdl.handle.net/10722/326612-
dc.description.abstractWe propose and study a class of generalized surface quasi-geostrophic equations. We show that in the inviscid case certain radial solutions develop gradient blow-up in finite time. In the critical dissipative case, the equations are globally well-posed with arbitrary H 1 initial data. © 2008 American Mathematical Society.-
dc.languageeng-
dc.relation.ispartofProceedings of the American Mathematical Society-
dc.subjectFinite-time singularities-
dc.subjectGlobal well-posedness-
dc.subjectMellin transform-
dc.subjectQuasi-geostrophic equations-
dc.titleFinite time singularities for a class of generalized surface quasi-geostrophic equations-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1090/S0002-9939-08-09328-3-
dc.identifier.scopuseid_2-s2.0-54949154201-
dc.identifier.volume136-
dc.identifier.issue7-
dc.identifier.spage2555-
dc.identifier.epage2563-
dc.identifier.isiWOS:000254675200035-

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