Optimal Results For The Two Dimensional Navier-Stokes Equations With Lower Regularity On The Data
Författare
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.
Avdelning/ar
Publiceringsår
2004
Språk
Engelska
Sidor
143-154
Publikation/Tidskrift/Serie
Seminaires et Congres
Volym
9
Länkar
Dokumenttyp
Artikel i tidskrift
Förlag
Société Mathématiques de France
Ämne
- Mathematics
Nyckelord
- anisotropic Sobolev space
- Navier Stokes
- Hilbert transform
- fractional calculus
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 1285-2783