The Landau equation does not blow up
Speaker: Nestor Guillen, Texas State University
Location: Warren Weaver Hall 1302
Date: Thursday, March 7, 2024, 11 a.m.
We consider solutions to the space-homogeneous Landau equation with a general family of interaction potentials. We prove that their Fisher information is monotone decreasing in time. The class of interaction potentials covered by our result includes the case of the Landau equation with Coulomb interactions. As a consequence of the global boundedness of the Fisher information, we deduce that solutions to the space-homogeneous Landau equation never blow up. This is a joint work with Luis Silvestre.