Incompressible Viscous Flows in Borderline Besov Spaces |
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| Authors: | Taoufik Hmidi Sahbi Keraani |
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| Affiliation: | (1) IRMAR, Universitè de Rennes 1, Campus de Beaulieu, 35042 Rennes, France |
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| Abstract: | We establish two new estimates for a transport-diffusion equation. As an application we treat the problem of global persistence of the Besov regularity  with ![$$p in ]2,+infty]$$](/content/5668n50351322353/205_2008_115_Article_IEq2.gif) , for the two-dimensional Navier–Stokes equations with uniform bounds on the viscosity. We provide also an inviscid global result. |
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