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

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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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Analysis of PDEs, 35Kxx, 76Dxx

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http://salesiana.dossiersoluciones.com/handle/123456789/216977

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.3508
 http://arxiv.org/abs/0901.3508

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arXiv