Analysis and Applied Mathematics Seminar
Rafail Abramov
UIC
Determinism vs stochasticity in models of particle interactions, and some interesting consequences in fluid mechanics
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.
Monday September 13, 2021 at 4:00 PM in Zoom