Journal
ADVANCES IN MATHEMATICS
Volume 225, Issue 4, Pages 1820-1829Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2010.04.018
Keywords
Hilbert transform; Surface quasi-geostrophic equation; Blow-up
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Funding
- MCINN (Spain) [MTM2008-03754]
- ERC [StG-203138CDSIF]
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We study the formation of singularities of a 1D non-linear and non-local equation. We show that this equation provides solutions of the surface quasi-geostrophic equation with infinite energy. The existence of self-similar solutions and the blow-up for classical solutions are shown. (C) 2010 Elsevier Inc. All rights reserved.
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