Behaviour of weak solutions of compressible Navier-Stokes equationsfor isothermal fluids with a nonlinear stress tensor期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Behaviour of weak solutions of compressible Navier-Stokes equationsfor isothermal fluids with a nonlinear stress tensor

Authors:	Rostislav?Vodák author-information" > author-information__contact u-icon-before" > mailto:vodak@inf.upol.cz vodak@wias-berlin.de" title=" vodak@inf.upol.cz vodak@wias-berlin.de" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	(1) Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science Palacky University, Tomkova 40, 779 00 Olomouc, Czech Republic;(2) Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, 10117 Berlin, Germany

Abstract:	The aim of this paper is to study the behaviour of a weak solution to Navier-Stokesequations 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 thisfunction, we can prove the strong convergence of the density to its limit state. Thebehaviour of the velocity field and kinetic energy is mentioned as well.

Keywords:	35Q30 35B35 76N10
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