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Secular Instability and the Turning-Point Principle for Rigidly Rotating Viscous Stars

Cheng, Ming et al.
arXiv (All) · Papers
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analysis-of-pdes
We study axisymmetric stability of rigidly rotating viscous stars modeled by the free-boundary Navier--Stokes--Poisson (NSP) system. The unstable index of the linearized NSP generator, counted with Riesz algebraic multiplicity, equals the Morse index of the augmented energy at fixed mass and total a
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