|DATE||July 12 (Thu), 2018|
|INSTITUTE||University of Pennsylvania|
|TITLE||On the relativistic Landau equation|
Classical Landau equation, introduced in 1936 by Landau, models a dilute plasma in which charged particles interact via binary Coulomb collisions. When particle velocities are close to the speed of light, which happens frequently in a hot plasma, then relativistic effects become important. A model that captures these effects was proposed by Bubker and Beliaev in 1956, and it is known as the relativistic Landau equation. In this talk we will describe recent results on the relativistic Landau equation with Coulomb interactions. In particular, we will discuss the entropy dissipation estimate, propagation of polynomial moments and the existence of a true weak solution for a large class of initial data. This is joint work with Robert M. Strain.