| Abstract: |
| Turning point principle for the stability of stellar models. Abstract: I will discuss some recent results on the linear stability criterion of spherically symmetric equilibria of several stellar models, including Euler-Poisson, Einstein-Euler and Einstein-Vlasov models. For Euler-Poisson and Einstein-Euler models, a turning point principle for the sharp stability criterion will be given. For Vlasov-Einstein model, the stability part of the turning point principle is obtained and the linear instability in the strong relativisitic limit will also be discussed. For all these models, a combination of first order and 2nd order Hamiltonian formulations is used to derive the stability criterion and study the linearized equation for initial data in the energy space. This is joint work with Chongchun Zeng (on Euler-Poisson) and with Hadzic and Rein (on Einstein-Euler and Einstein-Vlasov). |
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