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

数学科学：相对论流体和爱因斯坦-杨/米尔斯方程中的问题

• 批准号: 9501128
• 负责人: Joel Smoller
• 金额: $ 14万
• 依托单位: Regents of the University of Michigan - Ann Arbor
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-06-01 至 1998-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9501128&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Problemss; Relativistic; Fluids

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.

DMS-9501128 Smoller首席研究员（PI）建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学冲击波模型爆炸，这是基于爱因斯坦方程的某些解决方案在冲击波界面匹配。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还计划研究（与A. Wasserman），EYM的某些解 黑洞和基本粒子的数学模型在 特别地，黑洞解与黑洞的Hawking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。这些解模拟了爆炸，与恒星形成有关。这样的解在类星体建模中也很有意义，也可以用来研究宇宙学模型。PI还将研究黑洞和粒子类解决方案的性质， Einstein-Yang/米尔斯方程研究