Global Existence for a System of Wave Equations on a Product Space - IPAM at UCLA

Global Existence for a System of Wave Equations on a Product Space - IPAM at UCLA

Explore a 24-minute conference talk presented by Cécile Huneau from Ecole Polytechnique at IPAM's Workshop II: Mathematical and Numerical Aspects of Gravitation. Delve into the study of a system of quasilinear wave equations on the product of Euclidean space with a one-dimensional torus, serving as a toy model for Einstein equations with additional compact directions in Kaluza-Klein theory. Gain insights into the collaborative work with Annalaura Stingo (Davis--Polytechnique) as they investigate global existence for this system. Recorded on October 27, 2021, this presentation offers a deep dive into advanced mathematical concepts at the intersection of gravitation and wave equations.