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

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

2009-01-22

arxiv.org/abs/0901.3508v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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