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

• 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.

Subject headings

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

anisotropic Sobolev space

Navier Stokes

Hilbert transform

fractional calculus

Publication and Content Type

art (subject category)

ref (subject category)