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

Yu Yu Bakhtin, E. I. Dinaburg, Ya G. Sinai

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

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 languageEnglish (US)
Pages (from-to)1061-1078
Number of pages18
JournalRussian Mathematical Surveys
Volume59
Issue number6
DOIs
StatePublished - Nov 1 2004

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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