Going beyond Serrin's endpoint regularity criterion for Navier-Stokes
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Thu, 26/05/2011 12:30 |
Fabrice Planchon (Universite de Nice (France)) |
OxPDE Lunchtime Seminar  |
Gibson 1st Floor SR |
| Solutions which are time-bounded in L^3 up to time T can be continued past this time, by a landmark result of Escauriaza-Seregin-Sverak, extending Serrin's criterion. On the other hand, the local Cauchy theory holds up to solutions in BMO^-1; we aim at describing how one can obtain intermediate regularity results, assuming a priori bounds in negative regularity Besov spaces. This is joint work with J.-Y. Chemin, Isabelle Gallagher and Gabriel Koch. | |||