Rafail Abramov : Determinism vs stochasticity in models of particle interactions, and some interesting consequences in fluid mechanics

Posted by Ian Tobasco , part of the Analysis and Applied Mathematics Seminar.

At

Sept. 13, 2021, 4 p.m.

In

Zoom

Abstract

Conventional models of fluids (e.g. Euler and Navier-Stokes equations) are derived from the Boltzmann equation, where the particle interactions are described by the collision integral. It is known that particles in a fluid interact deterministically via a potential, yet the collision integral describes a stochastic, time-irreversible process. Here I show what happens to the fluid mechanics equations when the potential interaction is not replaced by the collision integral, and some interesting consequences thereof.