On the Existence, Uniqueness and C1,γ((Ω)over-bar) ∧ W2,2(Ω) Regularity for a Class of Shear-Thinning Fluids

被引：0
|
作者：
Crispo, Francesca [1 ]
Grisanti, Carlo R. [1 ]
机构：
[1] Univ Pisa, Dipartimento Matemat Applicata U Dini, I-56127 Pisa, Italy
来源：
JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2008年 / 10卷 / 04期
关键词：
Generalized Newtonian fluids; shear thinning fluids; global regularity;
D O I：
10.1007/s00021-008-0282-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a stationary Navier Stokes system with shear dependent viscosity, under Dirichlet boundary conditions. We prove Holder continuity, up to the boundary, for the gradient of the velocity field together with the L-2-summability of the weak second derivatives. The results hold under suitable smallness assumptions on the force term and without any restriction on the range of p is an element of (1, 2).
引用
收藏
页码：455 / 487
页数：33
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