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Behaviour of weak solutions of compressible Navier-Stokes equations for isothermal fluids with a nonlinear stress tensor
被引：0
作者：
Rostislav Vodák
机构：
[1] Faculty of Science Palacky University,Department of Mathematical Analysis and Applications of Mathematics
[2] Weierstrass Institute for Applied Analysis and Stochastics,undefined
来源：
Journal of Evolution Equations
|
2004年
/
4卷
关键词：
35Q30;
35B35;
76N10;
Stabilization;
asymptotic behaviour;
Navier-Stokes equations;
isothermal fluids;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this paper is to study the behaviour of a weak solution to Navier-Stokes
equations for isothermal fluids with a nonlinear stress tensor for time going to
infinity. In an analogous way as in [18], we construct a suitable function which
approximates the density for time going to infinity. Using properties of this
function, we can prove the strong convergence of the density to its limit state. The
behaviour of the velocity field and kinetic energy is mentioned as well.
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页码：213 / 247
页数：34
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