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arXiv:0901.3508 [math.AP]AbstractReferencesReviewsResources

Holder Continuity of Solutions of 2D Navier-Stokes Equations with Singular Forcing

Peter Constantin, Gregory Seregin

Published 2009-01-22Version 1

We discuss the regularity of solutions of 2D incompressible Navier-Stokes equations forced by singular forces. The problem is motivated by the study of complex fluids modeled by the Navier-Stokes equations coupled to a nonlinear Fokker-Planck equation describing microscopic corpora embedded in the fluid. This leads naturally to bounded added stress and hence to $W^{-1,\infty}$ forcing of the Navier-Stokes equations.

Categories: math.AP
Subjects: 35Kxx, 76Dxx
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