## 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.