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

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

2007-02-20

arxiv.org/abs/math/0702589v1

Mathematics

Analysis of PDEs

Scientific paper

10.1007/s00220-007-0384-2

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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