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arxiv: 0901.4462 · v1 · submitted 2009-01-28 · 🧮 math.AP

Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker-Planck equations

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keywords equationscoupledfokker-planckglobalnavier-stokesproofregularitysolutions
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We provide a proof of global regularity of solutions of coupled Navier-Stokes equations and Fokker-Planck equations, in two spatial dimensions, in the absence of boundaries. The proof yields a priori estimates for the growth of spatial gradients.

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