Dimension reduction for compressible Navier–Stokes equations with density-dependent viscosity

Journal of inequalities and applications

article

Mingyu Zhang¹ 

[1] School of Mathematics & Information Sciences, Weifang University

关键词: Compressible Navier–Stokes equations;    Dimension reduction;    Relative entropy;   

DOI  :  10.1186/s13660-020-02405-w

学科分类：电力

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate the Navier–Stokes equations describing the motion of a compressible viscous fluid confined to a thin domain $\varOmega _{\varepsilon }=I_{\varepsilon }\times (0, 1)$, $I_{ \varepsilon }=(0, \varepsilon )\subset \mathbb{R}$. We show that the strong solutions in the 2D domain converge to the classical solutions of the limit 1D Navier–Stokes system as $\varepsilon \to 0$.

【 授权许可】

CC BY