Abstract
The dynamics of gaseous stars can be described by the Euler–Poisson system. Inspired by Rein’s stability result for \(\gamma > \frac{4}{3}\), we prove the nonlinear instability of steady states for the adiabatic exponent \(\gamma=\frac{6}{5}\) under spherically symmetric and isentropic motion.
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Communicated by Y. Brenier
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Jang, J. Nonlinear Instability in Gravitational Euler–Poisson Systems for \(\gamma=\frac{6}{5}\) . Arch Rational Mech Anal 188, 265–307 (2008). https://doi.org/10.1007/s00205-007-0086-0
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DOI: https://doi.org/10.1007/s00205-007-0086-0