Home > Articles > Published articles > Global well-posedness and symmetries for dissipative active scalar equations with positive-order couplings |
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 ; Versió publicada |
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 |
26 p, 418.7 KB |