Corpus ID: 218486977

Separable Hamiltonian PDEs and Turning point principle for stability of gaseous stars

@article{Lin2020SeparableHP,
  title={Separable Hamiltonian PDEs and Turning point principle for stability of gaseous stars},
  author={Zhiwu Lin and C. Zeng},
  journal={arXiv: Analysis of PDEs},
  year={2020}
}
We consider stability of non-rotating gaseous stars modeled by the Euler-Poisson system. Under general assumptions on the equation of states, we proved a turning point principle (TPP) that the stability of the stars is entirely determined by the mass-radius curve parameterized by the center density. In particular, the stability can only change at extrema (i.e. local maximum or minimum points) of the total mass. For very general equation of states, TPP implies that for increasing center density… Expand
2 Citations
Turning point principle for relativistic stars

References

SHOWING 1-10 OF 53 REFERENCES
Solutions of Euler-Poisson Equations¶for Gaseous Stars
Non-Linear Stability of Gaseous Stars
Stability of gaseous stars in spherically symmetric motions
Rapidly Rotating Stars
The spectrum of adiabatic stellar oscillations
Compact support of spherically symmetric equilibria in non-relativistic and relativistic galactic dynamics
  • G. Rein, A. Rendall
  • Physics
  • Mathematical Proceedings of the Cambridge Philosophical Society
  • 2000
...
1
2
3
4
5
...