Finite time singularities for a class of generalized surface quasi-geostrophic equations
Finite time singularities for a class of generalized surface quasi-geostrophic equations
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Publisher
Providence, Rhode Island: American Mathematical Society
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Language
English
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Publisher
Providence, Rhode Island: American Mathematical Society
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Scope and Contents
Contents
We propose and study a class of generalized surface quasi-geo- strophic 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 H1H^1 initial data.
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Finite time singularities for a class of generalized surface quasi-geostrophic equations
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TN_cdi_pascalfrancis_primary_20487918
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_pascalfrancis_primary_20487918
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ISSN
0002-9939
E-ISSN
1088-6826
DOI
10.1090/S0002-9939-08-09328-3