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

页码：4815 / 4834

页数：20

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