Analysis of nonlocal model of compressible fluid in 1-D

被引：0

作者：

Zatorska, Ewelina ^{[1
]}

机构：

[1] Univ Warsaw, Inst Appl Math & Mech, PL-02097 Warsaw, Poland

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2011年 / 34卷 / 02期

关键词：

Navier-Stokes equations; barotropic compressible viscous fluid; weak solution; global existence; nonlocal models; ISENTROPIC GAS-DYNAMICS; NAVIER-STOKES EQUATIONS; VISCOUS-GAS; VISCOSITY; SYSTEMS;

D O I：

10.1002/mma.1348

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a nonlocal modification of the compressible Navier-Stokes equations in mono-dimensional case with a boundary condition characteristic for the free boundaries problem. From the formal point of view, our system is an intermediate between the Euler and Navier-Stokes equations. Under certain assumptions, imposed on initial data and viscosity coefficient, we obtain the local and global existence of solutions. Particularly, we show the uniform in time bound on the density of fluid. Copyright (C) 2010 John Wiley & Sons, Ltd.

引用

页码：198 / 212

页数：15

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