The Cauchy problem is considered for the Navier-Stokes system. Local and global existence and uniqueness theorems are given for initial data whose Fourier transform decays at infinity as a power-law function with negative exponent and has a power-law singularity at zero. The paper contains a survey of known facts and some new results.
|Original language||English (US)|
|Number of pages||18|
|Journal||Russian Mathematical Surveys|
|State||Published - Nov 2004|
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