IMA Postdoc Seminar (February 09, 2010)

Speaker: Yoneda, Tsuyoshi (IMA)

Title: Non blow-up of the Navier-Stokes equations in a rotating frame with spatially almost periodic large data.

Abstract: Non blow-up of the Navier-Stokes equations in a rotating frame with spatially almost periodic large data is considered. The Coriolis force appears in almost all of the models of oceanography and meteorology dealing with large-scale phenomena. To consider such a problem, FM space is used, i.e. Fourier preimage of the space of all finite Radon measures with no point mass at the origin proposed by Giga, Inui, Mahalov and Matsui in 2005. Non blow-up is proven by means of techniques of fast singular oscillating limits and bootstrapping from a global-in-time unique solution to the extended 2D-Navier-Stokes equations.