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Compressible Navier–Stokes system in 1-D

✍ Scribed by Piotr Bogusław Mucha


Book ID
102509975
Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
126 KB
Volume
24
Category
Article
ISSN
0170-4214

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✦ Synopsis


Abstract

The compressible barotropic Navier–Stokes system in monodimensional case with a Neumann boundary condition given on a free boundary is considered. The global existence with uniformly boundedness for large initial data and a positive force is proved. The result concerning an asymptotic behavior shows that the solutions tends to the stationary solution. Copyright © 2001 John Wiley & Sons, Ltd.


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✍ Nader Masmoudi 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 195 KB

We prove some asymptotic results concerning global (weak) solutions of compressible isentropic Navier-Stokes equations. More precisely, we establish the convergence towards solutions of incompressible Euler equations, as the density becomes constant, the Mach number goes to 0 and the Reynolds number