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Optimal Results For The Two Dimensional Navier-Stokes Equations With Lower Regularity On The Data

På svenska

Author

  • Magnus Fontes
  • Saksman Eero

Summary, in English

We establish existence and uniqueness of solutions in the anisotropic Sobolev space H^{1,1/2} to the two dimensional Navier-Stokes equations with source data in H^{-1,-1/2}. Our results give a new elementary proof for and extend some recent results by G. Grubb.

Publishing year

2004

Language

English

Pages

143-154

Publication/Series

Seminaires et Congres

Volume

9

Document type

Journal article

Publisher

Société Mathématiques de France

Topic

  • Mathematics

Keywords

  • anisotropic Sobolev space
  • Navier Stokes
  • Hilbert transform
  • fractional calculus

Status

Published

ISBN/ISSN/Other

  • ISSN: 1285-2783