CACCIOPPOLI TYPE INEQUALITY FOR NON-NEWTONIAN STOKES SYSTEM AND A LOCAL ENERGY INEQUALITY OF NON-NEWTONIAN NAVIER-STOKES EQUATIONS WITHOUT PRESSURE

被引：4
作者：
Jin, Bum Ja [1 ]
Kang, Kyungkeun [2 ]
机构：
[1] Mokpo Natl Univ, Dept Math, Mokpo, South Korea
[2] Yonsei Univ, Dept Math, Seoul, South Korea
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2017年 / 37卷 / 09期
关键词：
Caccioppoli type inequality; non-Newtonian Stokes and Navier-Stokes equations; local energy inequality; SHEAR-DEPENDENT VISCOSITY; INCOMPRESSIBLE FLUIDS; WEAK SOLUTIONS; REGULARITY; EXISTENCE; FLOWS;
D O I：
10.3934/dcds.2017207
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a Caccioppoli type inequality for the solution of a parabolic system related to the nonlinear Stokes problem. Using the method of Caccioppoli type inequality, we also establish the existence of weak solutions satisfying a local energy inequality without pressure for the non-Newtonian Navier-Stokes equations.
引用
收藏
页码：4815 / 4834
页数：20
相关论文
共 30 条
123