9 jun 2009

Abstract.

Martedi' 9 giugno alle ore 17:00, presso il Dipartimento di Matematica Applicata U.Dini

il prof. Alexis Vasseur (University of Texas at Austin, Department of Mathematics)

terra' un seminario dal titolo

Title: Higher derivatives estimate for the 3D Navier-Stokes equation

Abstract: A non linear family of spaces, based on the energy dissipation, is introduced. This family bridges an energy space (containing weak solutions to Navier-Stokes equation) to a critical space (invariant through the canonical scaling of the Navier-Stokes equation). This family is used to get uniform estimates on higher derivatives to solutions to the 3D Navier-Stokes equations. Those estimates are uniform, up to the possible blowing-up time. The proof uses blow-up techniques. It is based on a local parabolic regularization result obtained via De Giorgi techniques.