LeFloch氏 連続講演会

開催期間
2022/10/06 木 - 2022/10/06 木

講演者:
Philippe G. LeFloch 氏 (Sorbonne University and CNRS)

講演題目:
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

開催形式:
対面+Zoom
(対面参加は講演者、学内NLPDEセミナー関係者に限ります)

日程:
第1回 10月6日(木) 15:00-16:15
第2回 10月11日(火) 15:00-16:15
第3回 10月18日(火) 15:00-16:15
第4回 10月25日(火) 14:00-15:15