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|Type:||Artigo de periódico|
|Title:||A family of dissipative active scalar equations with singular velocity and measure initial data|
|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|
|Editor:||Pergamon-elsevier Science Ltd|
|Appears in Collections:||Artigos e Materiais de Revistas Científicas - Unicamp|
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