✦ LIBER ✦
Global existence and asymptotic behavior for the compressible Navier–Stokes equations with a non-autonomous external force and a heat source
✍ Scribed by Yuming Qin; Xiaona Yu
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 209 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1079
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✦ Synopsis
Abstract
In this paper, we prove the global existence and asymptotic behavior, as time tends to infinity, of solutions in H^i^ (i=1, 2) to the initial boundary value problem of the compressible Navier–Stokes equations of one‐dimensional motion of a viscous heat‐conducting gas in a bounded region with a non‐autonomous external force and a heat source. Some new ideas and more delicate estimates are used to prove these results. Copyright © 2008 John Wiley & Sons, Ltd.