✦ LIBER ✦
Global solvability for a large flux of a three-dimensional time-dependent Navier–Stokes problem in a straight cylinder
✍ Scribed by K. Pileckas; W. Zaja̧czkowski
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 211 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.993
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✦ Synopsis
Abstract
The unique global existence of a solution to nonstationary Navier–Stokes system with prescribed nonzero flux F(t) in an infinite three‐dimensional pipe is proved. The obtained solution remains close to the corresponding nonstationary Poiseuille flow. Moreover, it converges to the Poiseuille flow as |x~3~|→∞. Copyright © 2008 John Wiley & Sons, Ltd.