Decay rates of the compressible Navier-Stokes-Korteweg equations with potential forces
✍ Scribed by Wang, Wenjun; Wang, Weike
- Book ID
- 126048502
- Publisher
- American Institute of Mathematical Sciences
- Year
- 2015
- Tongue
- English
- Weight
- 568 KB
- Volume
- 35
- Category
- Article
- ISSN
- 1078-0947
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📜 SIMILAR VOLUMES
## Communicated by Y. Shibata We investigate the steady compressible Navier-Stokes equations near the equilibrium state v"0, " (v the velocity, the density) corresponding to a large potential force. We introduce a method of decomposition for such equations: the velocity field v is split into a non
In this paper, we deduce the estimates on decay rates of higher order derivatives about time variable and space variables for the strong solution to the Cauchy problem of the Navier᎐Stokes equations. The rate obtained is optimal in the sense that it coincides with that of solution to the heat equati
In this paper, we consider the Navier Stokes equations for isentropic, compressible flows of a polytropic gas in a bounded domain. The equations to be considered are obtained by scaling to dimensionless form and then replacing the density \ by \Ä += 2 \, where = is a Mach number. The existence of so