Differential Geometry: "The underlying geometry of the relativistic fluid dynamic equations"

Dr. Marcelo Disconzi, Vanderbilt University
 

We will discuss some recent results concerning mathematical aspects of relativistic fluids, focusing on the evolution problem for Einstein’s equations coupled to the equations of relativistic fluid dynamics and the role played by the underlying geometry. Einstein’s equations are a system of geometric evolution equations, but the geometric aspects we would like to emphasize come from the fluid part. We will discuss the importance of the boundary geometry in the description of free-boundary relativistic fluids; the Lorentzian geometry hidden behind the propagation of sound waves in relativistic perfect fluids and how it reveals a remarkable null-structure of the equations; and the geometry of the characteristics in relativistic fluids with viscosity.

Friday, March 16 at 11:10am to 12:00pm

Skye Hall (Surge Hall), 268

Event Type

Lectures & Presentations

Audience

General Public

Website

http://mathdept.ucr.edu/research/rese...

Department
Mathematics
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