GAUSS Seminar

Speaker: 
Brian Luczak (Vanderbilt University)
Topic: 
The Relativistic Euler Equations and Free Boundary Problems: An Overview

 Praneel Samanta & Nitesh Mathur Speaker/Title: Brian Luczak (Vanderbilt University), The Relativistic Euler Equations and Free Boundary Problems: An Overview   Alt Text:  Have you ever wondered about what happened a few microseconds after the Big Bang? Today, cosmologists believe that all of the matter and energy in the universe took the form of Quark-Gluon Plasma, a relativistic fluid that emerged from the singularity at near lightspeed. In fact, there are many instances in astrophysics, high-energy physics, and cosmology where the classical Euler equations for fluid flow are not sufficient in describing the behavior of gases and plasma involved. In this talk, we will give an overview of the mathematics involved in studying the relativistic Euler equations and discuss a few open problems related to the free-boundary model. The field is an exciting blend of partial differential equations, differential geometry, Lorentzian geometry, and astrophysics.  Although these topics can be quite dense, we encourage anyone to attend who is interested in the interplay between advanced mathematics and problems in astrophysics.

Abstract:

Have you ever wondered about what happened a few microseconds after the Big Bang? Today, cosmologists believe that all of the matter and energy in the universe took the form of Quark-Gluon Plasma, a relativistic fluid that emerged from the singularity at near lightspeed. In fact, there are many instances in astrophysics, high-energy physics, and cosmology where the classical Euler equations for fluid flow are not sufficient in describing the behavior of gases and plasma involved. In this talk, we will give an overview of the mathematics involved in studying the relativistic Euler equations and discuss a few open problems related to the free-boundary model. The field is an exciting blend of partial differential equations, differential geometry, Lorentzian geometry, and astrophysics. 
Although these topics can be quite dense, we encourage anyone to attend who is interested in the interplay between advanced mathematics and problems in astrophysics.

 

Meeting ID: 931 9296 4149

Password: GAUSS

 

We will have milk and cookies! Remember to bring your own mugs. 

 

 

Event Date: 
November 9, 2021 - 3:30pm to 4:20pm
Location: 
SH 176 and Online (See url)
Host: 
Nitesh Mathur & Praneel Samanta
Calendar Category: 
Seminar
Seminar Category: 
GAUSS