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Article: Finite time singularities for a class of generalized surface quasi-geostrophic equations
Title | Finite time singularities for a class of generalized surface quasi-geostrophic equations |
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Authors | |
Keywords | Finite-time singularities Global well-posedness Mellin transform Quasi-geostrophic equations |
Issue Date | 2008 |
Citation | Proceedings of the American Mathematical Society, 2008, v. 136, n. 7, p. 2555-2563 How to Cite? |
Abstract | We 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 Identifier | http://hdl.handle.net/10722/326612 |
ISSN | 2023 Impact Factor: 0.8 2023 SCImago Journal Rankings: 0.837 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Dong, Hongjie | - |
dc.contributor.author | Li, Dong | - |
dc.date.accessioned | 2023-03-31T05:25:14Z | - |
dc.date.available | 2023-03-31T05:25:14Z | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | Proceedings of the American Mathematical Society, 2008, v. 136, n. 7, p. 2555-2563 | - |
dc.identifier.issn | 0002-9939 | - |
dc.identifier.uri | http://hdl.handle.net/10722/326612 | - |
dc.description.abstract | We 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.language | eng | - |
dc.relation.ispartof | Proceedings of the American Mathematical Society | - |
dc.subject | Finite-time singularities | - |
dc.subject | Global well-posedness | - |
dc.subject | Mellin transform | - |
dc.subject | Quasi-geostrophic equations | - |
dc.title | Finite time singularities for a class of generalized surface quasi-geostrophic equations | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1090/S0002-9939-08-09328-3 | - |
dc.identifier.scopus | eid_2-s2.0-54949154201 | - |
dc.identifier.volume | 136 | - |
dc.identifier.issue | 7 | - |
dc.identifier.spage | 2555 | - |
dc.identifier.epage | 2563 | - |
dc.identifier.isi | WOS:000254675200035 | - |