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Seminars

Analysis Seminar

The massless Boltzmann equation in cosmological and Minkowski spacetimes

2026/10/06 (Tue.) 10:00~13:00
  • Date : 2026/10/06 (Tue.) 10:00~13:00
  • Location : online
  • Speaker : Ho Lee (Kyung Hee University)
  • Organizer : Tai-Ping Liu (AS)
  • Abstract : In this talk, I will discuss several results on the spatially homogeneous Boltzmann equation for massless particles. I will first explain how the problem arises naturally in the study of the Einstein--Boltzmann system near a cosmological initial singularity. I will then consider the massless Boltzmann equation on an expanding FLRW background and discuss the future global existence of small solutions for a certain range of soft and hard interactions. Finally, I will turn to the Minkowski case. For hard interactions, a Povzner-type inequality for massless particles leads to global existence, while for soft interactions, singular weights are used to control the behavior near zero momentum and establish local existence.

Click here to register: https://forms.gle/aYBBzmUwbEWkmBMW6  (Deadline: 4pm, Oct. 5)
本所保留開放連線之權限，報名並非確定可加入視訊討論。Registration does not guarantee participation.
請注意截止時間，逾時不受理報名。Please note the deadline; no applications will be accepted after the deadline.

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