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Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D

Peter Constantin·Nader Masmoudi
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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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Peter Constantin, Nader Masmoudi. 2007-02-20. Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D. https://doi.org/10.1007/s00220-007-0384-2

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