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 . 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.
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| Jihoon Lee |
Max-Planck institute for mathematics in the sciences
Insel str. 22-26 04103 Leipzig, Germany
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