國立清華大學 數學系

Abstract: The hydrodynamic escape problem (HEP) of atmosphere has been one of the most important subjects in astrophysics in the last decade. This problem is modeled as an initial-boundary value problem of 3-D compressible Euler equations with gravity, heating and conduction. In this talk, we study the transonic steady states and the global time- evolutionary entropy solutions of HEP in spherically symmetric space-times. The technique of geometric singular perturbations is used to obtain the C^2 subsonic-to-supersonic steady states. The global existence of time-evolutionary entropy solutions in the hydrodynamic region is established by a new version of generalized Glimm method and the controllability of gas velocity. This is the joint work with Bo-Chih Huang, Shih-Wei Chou (NCU) and Chien-Chang Yen (Fu Jen Catholic University). Tea Time: 3:30PM, R707