04-20【王学成】五教5406 偏微分方程系列报告

时间:2023-04-12


题目: Global stability of the Minkowski spacetime for the Einstein-Vlasov system


报告人:王学成 (清华大学)


时间:4月20日星期四下午4:00-5:00


地点:五教5406


摘要: In this talk, we discuss the global stability of  the  Minkowski spacetime  in the wave  coordinates  system for the massive Einstein-Vlasov system. In particular, compared with previous results by Lindblad-Taylor, in which the Vlasov part is assumed to have compact support assumption, and Fajman-Joudioux-Smulevci, in which the spacetime is assumed to be exact Schwarzschild in the exterior region,  we do not impose  any compact support condition for the Vlasov part and allow a large class of non-isotropic perturbations for the metric part, which decay at rate $\langle r\rangle^{-1+}$ towards space infinity.