中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

广义相对论研讨班

Speaker:  Taoran He (IHES)

Inviter: 马思远

Language: English

Title: Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime

Time&Venue: 2025年9月12日（星期五）16:00-17:00 & 腾讯会议: 755-970-289  

Abstract: In this talk, I will present our recent work on the stability of Kasner solutions for the Einstein-Maxwell-scalar field-Vlasov system in $1+3$ dimensions. This system incorporates gravity, electromagnetic, weak and strong interactions for the initial stage of our universe. The inclusion of the Vlasov field introduces several new challenges. By observing detailed mathematical structures and designing new delicate arguments, we identify a new strong sub-critical regime and prove the nonlinear stability with Kasner exponents lying in this entire regime. Our results extend the work of Fournodavlos-Rodnianski-Speck from the Einstein-scalar field system to the physically more complex system with the Vlasov field. This is joint work with Xinliang An and Dawei Shen.