## Abstract This paper studies the existence of weak solutions of the Navier–Stokes system defined on a certain class of domains in ℝ^3^ that may contain cusps. The concept of such a domain and weak energy solution for the system is defined and its existence is proved. However, thinness of cusps mu
Stability of weak solutions to the compressible Navier–Stokes equations in bounded annular domains
✍ Scribed by Jishan Fan; Hongjun Gao
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 143 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.899
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✦ Synopsis
Abstract
We prove the Lipschitz continuous dependence on initial data of global spherically symmetric weak solutions to the Navier–Stokes equations of a viscous polytropic ideal gas in bounded annular domains with the initial data in the Lebesgue spaces. Copyright © 2007 John Wiley & Sons, Ltd.
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