Navier-Stokes equations with degenerate viscosity, vacuum and gravitational 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) | 347-374 |
| Journal / Publication | Mathematical Methods in the Applied Sciences |
| Volume | 30 |
| Issue number | 3 |
| Publication status | Published - Feb 2007 |
Link(s)
Abstract
The global existence of weak solutions to the compressible Navier-Stokes equations with vacuum attracts many research interests nowadays. For the isentropic gas, the viscosity coefficient depends on density function from physical point of view. When the density function connects to vacuum continuously, the vacuum degeneracy gives some analytic difficulties in proving global existence. In this paper, we consider this case with gravitational force and fixed boundary condition. By giving a series of a priori estimates on the solution coping with the degeneracy of vacuum, gravitational force and boundary effect, we give global existence and uniqueness results similar to the case without force and boundary. Copyright © 2006 John Wiley & Sons, Ltd.
Research Area(s)
- A priori estimates, Global existence, Navier-Stokes equations, Vacuum
Citation Format(s)
Navier-Stokes equations with degenerate viscosity, vacuum and gravitational force. / Duan, Renjun; Yang, Tong; Zhu, Changjiang.
In: Mathematical Methods in the Applied Sciences, Vol. 30, No. 3, 02.2007, p. 347-374.
In: Mathematical Methods in the Applied Sciences, Vol. 30, No. 3, 02.2007, p. 347-374.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
