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Non-Formation of Vacuum States for Compressible Navier–Stokes Equations

✍ Scribed by David Hoff; Joel Smoller

Book ID: 105904068
Publisher: Springer
Year: 2001
Tongue: English
Weight: 146 KB
Volume: 216
Category: Article
ISSN: 0010-3616
DOI: 10.1007/s002200000322

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## Abstract In this paper, we consider the one‐dimensional compressible isentropic Navier–Stokes equations with a general ‘pressure law’ and the density‐dependent viscosity coefficient when the density connects to vacuum continuously. Precisely, the viscosity coefficient __µ__ is proportional to ρ^