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Type: Artigo
Title: Long-time solvability for the 2D dispersive SQG equation with improved regularity
Author: Angulo-Castillo, Vladimir
Ferreira, Lucas C. F.
Kosloff, Leonardo
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
Subject: Equações dispersivas
Strichartz, Estimativas de
Country: Estados Unidos
Editor: American Institute of Mathematical Sciences
Rights: Fechado
Identifier DOI: 10.3934/dcds.2020082
Date Issue: 2020
Appears in Collections:IMECC - Artigos e Outros Documentos

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