[CvGmt News] Seminar Announcement

[paolini at math.unifi.it]

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.

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You find this news in the cvgmt preprint server: http://cvgmt.sns.it/news/20090609/