Nonlinear dynamical stability of Newtonian rotating and non-rotating white dwarfs and rotating supermassive stars

DOI10.1007/s00220-008-0569-3zbMath1166.35031arXiv0710.3150OpenAlexW3099591905MaRDI QIDQ1006290

Tao Luo, J. A. Smoller

Publication date: 20 March 2009

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3150

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Gas dynamics (general theory) (76N15) General theory of rotating fluids (76U05) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (26)

On uniformly rotating binary stars and galaxies ⋮ Two-dimensional subsonic flows with self-gravitation in bounded domain ⋮ Sequential stability of weak solutions in compressible self-gravitating fluids and stationary problem ⋮ On nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem ⋮ Nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem with degenerate density dependent viscosities ⋮ Kinetic description of stable white dwarfs ⋮ A Model of Radiational Gaseous Stars ⋮ Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation ⋮ Formation of singularities to the Euler-Poisson equations ⋮ Some results on Newtonian gaseous stars -- existence and stability ⋮ Thresholds in three-dimensional restricted Euler-Poisson equations. ⋮ Stability of rotating gaseous stars ⋮ A note on complete bounded trajectories and attractors for compressible self-gravitating fluids ⋮ The uniqueness of the slowly uniformly rotating supermassive star for a given total mass ⋮ Global finite-energy solutions of the compressible Euler-Poisson equations for general pressure laws with large initial data of spherical symmetry ⋮ Asymptotic estimates for slowly rotating Newtonian stars ⋮ Global solutions to physical vacuum problem of non-isentropic viscous gaseous stars and nonlinear asymptotic stability of stationary solutions ⋮ Existence of magnetic compressible fluid stars ⋮ Stability for steady states of Navier-Stokes-Poisson equations ⋮ On radially symmetric solutions of the compressible isentropic self-gravitating fluid ⋮ On the expanding configurations of viscous radiation gaseous stars: thermodynamic model ⋮ Complete bounded trajectories and attractors for compressible barotropic self-gravitating fluid ⋮ On the expanding configurations of viscous radiation gaseous stars: the isentropic model ⋮ An improved local blow-up condition for Euler-Poisson equations with attractive forcing ⋮ Variational rotating solutions to non-isentropic Euler-Poisson equations with prescribed total mass ⋮ Nonlinear Instability Theory of Lane-Emden Stars

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