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

P. Constantin; Nader Masmoudi

doi:10.1007/s00220-007-0384-2

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

P. Constantin, Nader Masmoudi

Research output: Contribution to journal › Article › peer-review

63 Scopus citations

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	https://doi.org/10.1007/s00220-007-0384-2
State	Published - Feb 2008
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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

author = "P. Constantin and Nader Masmoudi",

year = "2008",

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doi = "10.1007/s00220-007-0384-2",

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AU - Masmoudi, Nader

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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]).

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

Abstract

All Science Journal Classification (ASJC) codes

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