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Global well-posedness and symmetries for dissipative active scalar equations with positive-order couplings
Ferreira, Lucas C. F. (Universidade Estadual de Campinas. IMECC - Departamento de Matemática)
Lima, Lidiane S. M. (Universidade Federal de Goiás. IME - Departamento de Matemática)

Date: 2016
Abstract: We consider a family of dissipative active scalar equations outside the L2-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, with-out smallness assumptions, for initial data belonging to the critical Lebesgue space Ln/2y-β (ℝn ) 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.
Rights: Tots els drets reservats
Language: Anglès.
Document: article ; recerca ; publishedVersion
Subject: Active scalar equations ; Global well-posedness ; Decay of solutions ; Symmetry ; Critical spaces
Published in: Publicacions matemàtiques, Vol. 60 Núm. 2 (2016) , p. 525-550 (Articles) , ISSN 2014-4350

DOI: 10.5565/PUBLMAT_60216_08


26 p, 418.7 KB

The record appears in these collections:
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles

 Record created 2016-07-14, last modified 2019-02-02



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