Weak solutions to the two-dimensional steady compressible Navier-Stokes equations

被引：1

作者：

Zhong, Xin ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2017年 / 34卷

关键词：

Steady fluids; Compressible Navier-Stokes system; Viscous isothermal fluid; Weak solution; EXISTENCE;

D O I：

10.1016/j.nonrwa.2016.08.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study motions of the steady compressible viscous isothermal fluids in a bounded two dimensional domain governed by the Navier-Stokes equations. We obtain that there exists at least one weak solution to such a problem satisfying some integrability. The proof of this result is based on delicate estimates for the momentum equations and a bootstrapping argument. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：61 / 74

页数：14

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