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

被引：67

作者：

Constantin, P. ^{[1
]}

Masmoudi, Nader ^{[2
]}

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[2] NYU, Courant Inst, New York, NY 10012 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2008年 / 278卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/s00220-007-0384-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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]).

引用

页码：179 / 191

页数：13

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