Lecture Series in PDE

開催期間
2022/10/06 Thu - 2022/10/06 Thu

Speaker:
Philippe G. LeFloch (Sorbonne University and CNRS)

Title:
The initial value problem for the Einstein equations for massive fields

Abstract:
This series of lectures is devoted to recent advances on nonlinear PDE
systems of coupled wave and Klein-Gordon equations, especially on the
initial value problem for the Einstein equations of general
relativity, describing the evolution of a self-gravitating massive
field. I will present material on the structure of the Einstein
equations and the stability of their solutions, together with the
Euclidian-Hyperboloidal Foliation Method introduced by the speaker in
collaboration with Yue Ma (Xi'an Jiatong Univ). The latter is a novel
and versatile method of analysis which applies to a variety of
nonlinear wave-Klein-Gordon systems. For the convenience of the
audience, the lectures will be relatively independent from each other.
The first part of the course will provide a general overview of the
most important problems and results in the field, while in the final
lectures an outline of the technical elements of the
Euclidian-Hyperboloidal Foliation Method will be given. The course
will be accessible to graduate students. Some related papers can be
found at the link: https://philippelefloch.org

Note: The lecture will be given in a hybrid format
(only NLPDE seminar members may attend in person).

Date/Time:

(1)  October 6, 2022 15:00 -- 16:15
(2)  October 11, 2022 15:00 -- 16:15
(3)  October 18, 2022 15:00 -- 16:15
(4)  October 25, 2022 14:00 -- 15:15
*In Japan time (GMT+9)