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

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.

References in corpus (1)

• Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems

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