Global Regularity for Some Oldroyd-B Type Models

被引：75

作者：

Elgindi, Tarek M. ^{[1
]}

Rousset, Frederic ^{[2
]}

机构：

[1] Courant Inst, New York, NY USA

[2] IRMAR, Rennes, France

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2015年 / 68卷 / 11期

基金：

美国国家科学基金会;

关键词：

EULER-BOUSSINESQ SYSTEM; WELL-POSEDNESS; VISCOELASTIC FLUIDS; BESOV-SPACES; EQUATIONS; HYDRODYNAMICS; VISCOSITY; FLOWS;

D O I：

10.1002/cpa.21563

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate some critical models for visco-elastic flows of Oldroyd-B type in dimension 2. We use a transformation that exploits the Oldroyd-B structure to prove an L-infinity bound on the vorticity which allows us to prove global regularity for our systems. (C) 2015 Wiley Periodicals, Inc.

引用

页码：2005 / 2021

页数：17

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