Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D
Peter Constantin, Nader Masmoudi
Abstract
We prove global existence for a nonlinear Smoluchowski equation (a nonlinear Fokker-Planck equation) coupled with Navier-Stokes equations in two dimensions. The proof uses a deteriorating regularity estimate and the tensorial structure of the main nonlinear terms.
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