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|Title:||Long-time solvability for the 2D dispersive SQG equation with improved regularity|
Ferreira, Lucas C. F.
|Abstract:||In this paper, we study the long-time existence and uniqueness (solvability) for the initial value problem of the 2D inviscid dispersive SQG equation. First we obtain the local solvability with existence-time independent of the amplitude parameter A. Then, assuming more regularity and using a blow-up criterion of BKM type and a space-time estimate of Strichartz type, we prove long-time solvability of solutions in Besov spaces for large A and arbitrary initial data. In comparison with previous results, we are able to consider improved cases of the regularity and larger initial data classes|
Strichartz, Estimativas de
|Editor:||American Institute of Mathematical Sciences|
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
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