✦ LIBER ✦

Global Smooth Solutions of the Equations of a Viscous, Heat - Conducting, One - Dimensional Gas with Density - Dependent Viscosity

✍ Scribed by Song Jiang

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 584 KB
Volume: 190
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19981900109

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✦ Synopsis

We consider initial boundary value problems for the equations of the one-dimensional motion of a viscous, heat -conducting gas with density -dependent viscosity that decreases (to zero) with decreasing density. We prove that if the viscosity does not decrease to zero too rapidly, then smooth solutions exist globally in time.

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✍ JiřÍ Neustupa 📂 Article 📅 1991 🏛 John Wiley and Sons 🌐 English ⚖ 968 KB

## Communicated by E. Meister We deal with the system of equations of motion of a viscous barotropic fluid. The system contains an artificial viscosity, which depends on the density p of the fluid and is identically equal to zero for p E (0, p 2 ) (where p2 is a given positive number). If p2 is ch