# Boltzmann's H-theorem and kinetic equations

## Location

Math 383-N

Friday, October 4, 2019 2:00 PM

Sanchit Chaturvedi

We discuss the celebrated *H*-theorem of Boltzmann and its ramifications in the Boltzmann and Landau equations. Time permitting, we outline a proof of the *H*-theorem's validity in spatially homogeneous equations. We will also introduce entropy's arch-nemesis—dispersion—in the spatially inhomogeneous case. Finally, we will give some conjectures and open questions that abound in the field.