Existence of weak solutions for non-stationary flows of fluids with shear thinning dependent viscosities under slip boundary conditions in half space  

作　　者：Aibin Zang 

机构地区：[1]School of Mathematics and Computer Science, Yichun University

出　　处：《Science China Mathematics》2018年第4期727-744,共18页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 11571279);Education Department of Jiangxi Province (Grant No. GJJ151036);Youth Innovation Group of Applied Mathematics in Yichun University (Grant No. 2012TD006)

摘　　要：This paper treats the system of motion for an incompressible non-Newtonian fluids of the stress tensor described by p-potential function subject to slip boundary conditions in R_+~3. Making use of the Oseentype approximation to this model and the L~∞-truncation method, one can establish the existence theorem of weak solutions for p-potential flow with p ∈(8/5, 2] provided that large initial are regular enough.This paper treats the system of motion for an incompressible non-Newtonian fluids of the stress tensor described by p-potential function subject to slip boundary conditions in R_＋~3. Making use of the Oseentype approximation to this model and the L~∞-truncation method, one can establish the existence theorem of weak solutions for p-potential flow with p ∈（8/5, 2] provided that large initial are regular enough.

关 键 词：non-Newtonian fluid slip boundary conditions Oseen-type approximation weak solution 

分 类 号：O35[理学—流体力学]