Mathematical Sciences: Problemss in Relativistic Fluids andEinstein-Yang/Mills Equations

首席研究员（PI）提议继续他在广义相对论和爱因斯坦-杨/米尔斯（EYM）方程中的冲击波领域的研究。他计划研究天体物理冲击波模拟爆炸，这是基于爱因斯坦方程在冲击波界面上的某些解的匹配。这样的激波解模拟了恒星的形成，并与各种天体物理现象有关。PI还计划（与A. Wasserman一起）研究同时模拟黑洞和基本粒子的EYM方程的某些解。特别是黑洞解与黑洞的霍金辐射有关。首席研究员（PI）计划研究爱因斯坦广义相对论方程的天体物理冲击波解。这些溶液模拟爆炸，并与恒星形成有关。这样的解决方案在类星体建模中也很有意义，也可以用于研究宇宙模型。PI还将研究爱因斯坦-杨/米尔斯方程中出现的黑洞和类粒子解的性质。

DMS-9501128 Smoller The principal investigator (PI) proposes to continue his investigations in the areas of shock waves in General Relativity, and Einstein- Yang/Mills (EYM) equations. He plans to study astrophysical shock waves modeling explosions, which are based upon matching of certain solutions of Einstein's equations across a shock-wave interface. Such shock wave solutions model stellar formation, and are related to a variety of astrophysical phenomena. The PI also plans to study, (together with A. Wasserman), certain solutions of the EYM equations modeling both black holes, and elementary particles. In particular, the black hole solutions are related to Hawking radiation of black holes. The principal investigator (PI) plans to study astrophysical shock wave solutions of Einstein's equations of General Relativity. These solutions model explosions and are related to stellar formation. Such solutions are also of interest in modeling quasars and can also be used to study cosmological models. The PI also will study the properties of black-hole and particle-like solutions which arise in the study of Einstein-Yang/Mills equations.