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Type: Artigo de periódico
Title: A family of dissipative active scalar equations with singular velocity and measure initial data
Author: Ferreira, LCF
Abstract: This paper considers a family of generalized active scalar equations, with fractional dissipation, whose velocity fields are more singular than Riesz transform. We prove global well-posedness results for small initial data belonging to Besov-Morrey spaces, which contain strongly singular functions and measures concentrated at points (Diracs) and on smooth curves. Self-similar solutions are obtained for initial data and coupling-velocity operator with correct homogeneities. We also show an asymptotic behavior result and obtain a class of asymptotically self-similar solutions. (C) 2012 Elsevier Ltd. All rights reserved.
Subject: Generalized surface quasi-geostrophic equations
Besov-Morrey spaces
Asymptotic behavior
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Rights: fechado
Identifier DOI: 10.1016/j.camwa.2012.01.074
Date Issue: 2012
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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