Fisher information for the space-homogeneous Boltzmann equation

Seminar: 
Analysis
Event time: 
Thursday, March 6, 2025 - 4:00pm
Speaker: 
Cyril Imbert
Event description: 

https://yale.zoom.us/j/95303636613
This talk is concerned with the space-homogeneous Boltzmann equation. We will see that the Fisher information of solutions decreases with time for physically relevant potentials, including the case of hard-spheres and soft and very soft potentials. An important consequence of this new a priori estimate is the well-posedness of the equation and the regularity of solutions.