Viscoelastic fluids in thin domains: A mathematical proof

被引：7
|
作者：
Bayada, Guy [1 ,2 ]
Chupin, Laurent [2 ]
Grec, Berenice [3 ]
机构：
[1] INSA Lyon, Inst Camille Jordan, CNRS, UMR 5208, Lyon, France
[2] INSA Lyon, LAMCOS, CNRS, UMR 5259, Lyon, France
[3] Ecole Cent Lyon, Inst Camille Jordan, CNRS, UMR 5208, F-69130 Ecully, France
来源：
ASYMPTOTIC ANALYSIS | 2009年 / 64卷 / 3-4期
关键词：
viscoelastic fluids; thin film; Oldroyd model; lubrication flow; asymptotic analysis; STOKES EQUATIONS; ASYMPTOTIC-BEHAVIOR; REYNOLDS-EQUATION; FLOW; DERIVATION; MODELS; LAW;
D O I：
10.3233/ASY-2009-0940
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper deals with non-Newtonian viscoelastic flows of Oldroyd-B type in thin domains. Such geometries arise for example in the context of lubrication. More precisely, we justify rigorously the asymptotic model obtained heuristically by proving the mathematical convergence of the Navier-Stokes/Oldroyd-B system towards the asymptotic model.
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页码：185 / 211
页数：27
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