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math.AP2013
Self-similar solutions for active scalar equations in Fourier-Besov-Morrey spaces
Lucas C. F. Ferreira, Lidiane S. M. Lima
We are concerned with a family of dissipative active scalar equation with velocity fields coupled via multiplier operators that can be of high-order. We consider sub-critical value…
math.AP2013
Global well-posedness and symmetries for dissipative active scalar equations with positive-order couplings
Lucas C. F. Ferreira, Lidiane S. M. Lima
We consider a family of dissipative active scalar equations outside the -space. This was introduced in [D. Chae, P. Constantin, J. Wu, to appear in IUMJ (2014)] and its velo…