### Abstract

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) |
---|---|

Pages (from-to) | 339-348 |

Number of pages | 10 |

Journal | Communications In Mathematical Physics |

Volume | 258 |

Issue number | 2 |

DOIs | |

State | Published - Sep 2005 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

## Fingerprint Dive into the research topics of 'Regularity of solutions to vorticity navier-stokes system on ℝ<sup>2</sup>'. Together they form a unique fingerprint.

## Cite this

Arnold, M., Bakhtin, Y., & Dinaburg, E. (2005). Regularity of solutions to vorticity navier-stokes system on ℝ

^{2}.*Communications In Mathematical Physics*,*258*(2), 339-348. https://doi.org/10.1007/s00220-005-1300-2