Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 78, pp. 1-8.

Title: Generic solvability for the 3-D Navier-Stokes equations with
       nonregular force

Author: Jihoon Lee (Max-Planck institute, Leipzig, Germany)
 
Abstract:
 We show that the existence of global strong solutions for the
 Navier-Stokes equations with nonregular force is generically true.
 Similar results for equations without the nonregular force have
 been obtained by  Fursikov [5].  Our main tools are 
 the Galerkin method and estimates on its solutions.
  
Submitted February 24, 2004. Published June 4, 2004.
Math Subject Classifications: 35A05, 76N10.
Key Words: Stochastic Navier-Stokes equations; generic solvability.