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Global Well-Posedness for a Smoluchowski Equation Coupled with Navier-Stokes Equations in 2D

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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 2d. The proof uses a deteriorating regularity estimate in the spirit of [5] (see also [1]).

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Authors and Affiliations

  1. Department of Mathematics, The University of Chicago, 5734 S. University Avenue, Chicago, IL, 60637, USA

    P. Constantin

  2. Courant Institute, New York University, 251 Mercer St, New York, NY, 10012, USA

    Nader Masmoudi

Authors
  1. P. Constantin
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  2. Nader Masmoudi
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Correspondence to P. Constantin.

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Communicated by A. Kupiainen

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Constantin, P., Masmoudi, N. Global Well-Posedness for a Smoluchowski Equation Coupled with Navier-Stokes Equations in 2D. Commun. Math. Phys. 278, 179–191 (2008). https://doi.org/10.1007/s00220-007-0384-2

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  • DOI: https://doi.org/10.1007/s00220-007-0384-2

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