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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)

Data: 2016
Resum: 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.
Drets: Tots els drets reservats
Llengua: Anglès
Document: Article ; recerca ; Versió publicada
Matèria: Active scalar equations ; Global well-posedness ; Decay of solutions ; Symmetry ; Critical spaces
Publicat a: Publicacions matemàtiques, Vol. 60 Núm. 2 (2016) , p. 525-550 (Articles) , ISSN 2014-4350

Adreça alternativa: https://www.raco.cat/index.php/PublicacionsMatematiques/article/view/311023
DOI: 10.5565/PUBLMAT_60216_08

26 p, 418.7 KB

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