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Type: Artigo
Title: Global Well-posedness And Symmetries For Dissipative Active Scalar Equations With Positive-order Couplings
Author: Ferreira
Lucas C. F.; Lima
Lidiane S. M.
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
Critical Spaces
Editor: Univ Autonoma Barcelona
Rights: fechado
Identifier DOI: 10.5565/PUBLMAT_60216_08
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

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