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主講人:洪盟凱 教授 (中央大學數學系)

  目:Global existence of weak solutions to the initial-boundary value problem of Euler-Poisson equations with self-gravitation force in spherically symmetric space-times

  期:107522日(星期二)

  間:下午16:10

  點:科學館S433

 摘要Abstract:

In this talk, we consider the Euler-Poisson equations with self-gravitation force in spherically symmetric space-times , which is governed by a mixed type 3

by 3 system of partial differential equations.

The initial-boundary value problem is studied for the motion of gasous stars in astrophysics. In this talk, the mixed type 3 by 3 Euler-Poisson system is re-formulated as a 3 by 3 hyperbolic resonant system in transom flows. The global existence of weak

solutions is established by a generalized version of Glimm scheme.

Numerical simulations are also provided. This is the joint

work with Shih-Wei Chou (NCU) and Chia-Chieh Chu (NTHU).

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