PDE Seminar Spring 2025

Fridays, 3:30 – 4:20pm. The talks will be either at the Sony Building or at the Stevenson Center 1 building. See below for the specific building and room of each talk. Occasionally, talks will be virtual via Zoom. When possible, in-person talks will be live streamed.

Date: Friday, April 11, 8AM (notice different time).

• Speaker: Huali Zhang, Hunan University (China).
• Title: Strichartz estimates and low regularity solutions of 3D relativistic Euler equations.
• Abstract: Disconzi proposed an open Problem D, about establishing low regularity solutions for 3D relativistic Euler equations with the logarithmic enthalpy $h_0$, initial velocity $\bu_0$, and modified vorticity $\bw_0$ belonging to $H^s \times H^s \times H^{s_0} (2<s_0<s)$. Similar results have been obtained for compressible Euler equations by Wang (see also Andersson-Zhang). Compared with the non-relativistic case, the velocity varies from space-like to time-like in relativistic Euler, which brings us challenges for Problem D. In this talk, we will give a positive answer to this open Problem D for 3D relativistic Euler equations.
• Zoom link: https://vanderbilt.zoom.us/j/98625175307.