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|Title:||Global Well-posedness And Symmetries For Dissipative Active Scalar Equations With Positive-order Couplings|
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  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|
Decay Of Solutions
|Editor:||Univ Autonoma Barcelona|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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