讲座题目:Global dynamics of massive matter from geometric analysis to scientific computation 主讲人:Philippe G. LeFloch 教授 主持人:袁海荣 教授 开始时间:2019-07-15 14:00:00 结束时间:2019-07-15 15:00:00 讲座地址:闵行数学楼102室 主办单位:数学科学学院
报告人简介: Philippe G. LeFloch教授是世界著名的的研究双曲守恒律方程以及相关流体力学和数值计算问题的专家,担任《Journal of Hyperbolic Differential Equations》等多家知名期刊的编委或主编,其专著《Hyperbolic Systems of Conservation Laws : The Theory of Classical and Nonclassical Shock Waves》是双曲守恒律领域的经典著作之一。近年来对爱因斯坦方程、流形上双曲守恒律方程等做了开创性的、系统、深刻的研究工作。 报告内容: I will present recent mathematical advances on the nonlinear dynamical stability of massive matter fields such as compressive fluids in presence of gravitation effects. Recent progress concerns the following problems: -- Spherically symmetric fluid flows, for instance outside of a Schwarzschild black hole with random boundary forcing -- Formulation and convergence of the finite volume method for conservation laws on a spacetime with boundary -- Global nonlinear stability of Minkowski spacetime for the Einstein equations in presence of massive fields |