Analysis & PDE
- Anal. PDE
- Volume 6, Number 5 (2013), 1121-1181.
Instability theory of the Navier–Stokes–Poisson equations
The stability question of the Lane–Emden stationary gaseous star configurations is an interesting problem arising in astrophysics. We establish both linear and nonlinear dynamical instability results for the Lane–Emden solutions in the framework of the Navier–Stokes–Poisson system with adiabatic exponent .
Anal. PDE, Volume 6, Number 5 (2013), 1121-1181.
Received: 5 July 2012
Revised: 4 January 2013
Accepted: 28 February 2013
First available in Project Euclid: 20 December 2017
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10] 35R35: Free boundary problems 76E20: Stability and instability of geophysical and astrophysical flows 85A30: Hydrodynamic and hydromagnetic problems [See also 76Y05]
Jang, Juhi; Tice, Ian. Instability theory of the Navier–Stokes–Poisson equations. Anal. PDE 6 (2013), no. 5, 1121--1181. doi:10.2140/apde.2013.6.1121. https://projecteuclid.org/euclid.apde/1513731399