- SIAM Student Seminar
- Friday, October 4, 2019 - 3:00pm for 1 hour (actually 50 minutes)
- Skiles 249
- Prof. Federico Bonetto (Distinguished Speaker) – GT Math
- Jiaqi Yang
In 1959 Mark Kac introduced a simple model for the evolution
of a gas of hard spheres undergoing elastic collisions. The main
simplification consisted in replacing deterministic collisions with
random Poisson distributed collisions.
It is possible to obtain many interesting results for this simplified
dynamics, like estimates on the rate of convergence to equilibrium and
validity of the Boltzmann equation. The price paid is that this system
has no space structure.
I will review some classical results on the Kac model and report on an
attempt to reintroduce some form of space structure and non-equilibrium
evolution in a way that preserve the mathematical tractability of the