### 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]).

Original language | English (US) |
---|---|

Pages (from-to) | 179-191 |

Number of pages | 13 |

Journal | Communications in Mathematical Physics |

Volume | 278 |

Issue number | 1 |

DOIs | |

State | Published - Feb 2008 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

**Global well-posedness for a smoluchowski equation coupled with navier-stokes equations in 2D.** / Constantin, P.; Masmoudi, Nader.

Research output: Contribution to journal › Article

*Communications in Mathematical Physics*, vol. 278, no. 1, pp. 179-191. https://doi.org/10.1007/s00220-007-0384-2

}

TY - JOUR

T1 - Global well-posedness for a smoluchowski equation coupled with navier-stokes equations in 2D

AU - Constantin, P.

AU - Masmoudi, Nader

PY - 2008/2

Y1 - 2008/2

N2 - 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]).

AB - 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]).

UR - http://www.scopus.com/inward/record.url?scp=38049042966&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38049042966&partnerID=8YFLogxK

U2 - 10.1007/s00220-007-0384-2

DO - 10.1007/s00220-007-0384-2

M3 - Article

VL - 278

SP - 179

EP - 191

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -