Chennai Mathematical Institute

Seminars




R.K. Rubugunday Distinguished Lecture
Date: Monday, 8 April 2024
Time: 2:00 - 3:00 PM
Venue: Seminar Hall
Evolution of a blast in a cold gas: From Newton to Euler and Navier-Stokes-Fourier

Abhishek Dhar
ICTS, Bangalore.
08-04-24


Abstract

It is known that a gas composed of a large number of atoms following Newtonian dynamics can also be described by the continuum laws of hydrodynamics. Proving this rigorously is one of the outstanding open problems in physics and mathematics. Surprisingly, precise numerical demonstrations of the equivalence of the hydrodynamic and microscopic descriptions are rather rare. The talk will discuss recent numerical tests of this equivalence in the context of the classic problem of the evolution of a blast-wave, where a large amount of energy is introduced in a localized region in a cold gas. We will also discuss the "splash" problem where energy is injected from one side of a semi-infinite cold gas.