The Cauchy problem for the Navier-Stokes system for vorticity on plane is considered. If the Fourier transform of the initial data decays as a power at infinity, then at any positive time the Fourier transform of the solution decays exponentially, i.e. the solution is analytic.
|Original language||English (US)|
|Number of pages||10|
|Journal||Communications In Mathematical Physics|
|State||Published - Sep 2005|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics