On time analyticity of the NavierStokes equations in a rotating frame with spatially almost periodic data
Preprint Series # 860 Giga, Yoshikazu and Jo, Hideaki and Mahalov, Alex and Yoneda, Tsuyoshi On time analyticity of the NavierStokes equations in a rotating frame with spatially almost periodic data. (2007); AbstractWe consider the NavierStokes equations with the Coriolis force when
intial data may not decrease at spatial infinity so that almost periodic
data is allowed. We prove that the localintime solution is analytic in
time when initial data is in $FM_0$, Fourier preimage of the space of all
finite Radon measures with no point mass at the origin. When the initial
data is almost periodic, this implies that the complex amplitude is analytic
in time. In particular, a new mode cannot be created at any positive time.
