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math.AP2013
The Slightly Supercritical Euler Equations: Smooth Solutions and Vortex Patches
Tarek M Elgindi
We investiage the (slightly) super-critical 2-D Euler equations. The paper consists of two parts. In the first part we prove well-posedness in spaces for all We also g…
math.AP2013
Global Regularity for some Oldroyd-B type Models
Tarek M. Elgindi, Frederic Rousset
We investigate some critical models for visco-elastic flows of Oldroyd-B type in dimension two. We use a transformation which exploits the Oldroyd-B structure to prove an L^\infty…