Convergence rate for the compressible Navier-Strokes equations with external force
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 561-574 |
| Journal / Publication | Journal of Hyperbolic Differential Equations |
| Volume | 3 |
| Issue number | 3 |
| Publication status | Published - Sept 2006 |
Link(s)
Abstract
For the compressible Navier-Stokes equations with a stationary potential force, the stability of the stationary solutions was studied by Matsumura and Nishida. The convergence rate to the stationary solutions in time was later studied by Deckelnick which was improved by Shibata and Tanaka for more general external forces. This paper deals with the case for the stationary potential force under some smallness condition, to establish an almost optimal convergence rate in L2 (ℝN) -norm for N ≥ 3. © 2006 World Scientific Publishing Company.
Research Area(s)
- Convergence rate, Energy methods, Navier-Stokes equations, Spectrum estimate
Citation Format(s)
Convergence rate for the compressible Navier-Strokes equations with external force. / Ukai, Seiji; Yang, Tong; Zhao, Huijiang.
In: Journal of Hyperbolic Differential Equations, Vol. 3, No. 3, 09.2006, p. 561-574.
In: Journal of Hyperbolic Differential Equations, Vol. 3, No. 3, 09.2006, p. 561-574.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
