Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/319929
Type: Artigo de Periódico
Title: Global Well-posedness And Symmetries For Dissipative Active Scalar Equations With Positive-order Couplings
Author: Ferreira
LCF; Lima
LSM
Abstract: We consider a family of dissipative active scalar equations outside the L-2-space. This was introduced in [7] and its velocity fields are coupled with the active scalar via a class of multiplier operators which morally behave as derivatives of positive order. We prove global well-posedness and time-decay of solutions, without smallness assumptions, for initial data belonging to the critical Lebesgue space Ln/2 gamma-beta(R-n) which is a class larger than that of the above reference. Symmetry properties of solutions are investigated depending on the symmetry of initial data and coupling operators.
Subject: Active Scalar Equations
Global Well-posedness
Decay Of Solutions
Symmetry
Critical Spaces
Editor: UNIV AUTONOMA BARCELONA
Rights: aberto
Identifier DOI: 10.5565/PUBLMAT_60216_08
Address: http://www.raco.cat/index.php/PublicacionsMatematiques/article/view/10.5565-PUBLMAT_60216_08
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

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