| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9511244 | Journal de Mathématiques Pures et Appliquées | 2005 | 41 Pages |
Abstract
We study the evolution of the Hölderian regularity for some convection-diffusion equation with respect to Lipschitzian vector field, generalizing a result of R. Danchin [J. Math. Pures Appl. 76 (1997) 609] for the Besov spaces Bp,âs, with p finite and sâ(â1,1). As an application, we show for the two-dimensional Navier-Stokes system that if the initial vorticity is a vortex patch having a C1+É boundary then its image through the viscous flow preserves this regularity for all time. We also show some results of inviscid limit.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Taoufik Hmidi,