On solutions with infinite energy and enstrophy of the Navier–Stokes system

Autor:	Bakhtin, Yu.Yu., Dinaburg, E.I., Sinai, Ya.G.
Zdroj:	Russian Mathematical Surveys; March 2005, Vol. 59 Issue: 6 p1061-1078, 18p
Abstrakt:	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.
Databáze:	Supplemental Index
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