2 papers
math.AP2026
Pointwise bounds and obstructions to blowup for the Landau and Boltzmann equations
William Golding, Christopher Henderson, Luis Silvestre
We establish a new a priori estimate on solutions to the space-inhomogeneous Landau and Boltzmann equations. As a consequence, we prove a new continuation criterion, based on a wei…
math.AP2024
On the monotonicity of the Fisher information for the Boltzmann equation
Cyril Imbert, Luis Silvestre, Cédric Villani
We prove that the Fisher information is monotone decreasing in time along solutions of the space-homogeneous Boltzmann equation for a large class of collision kernels covering all…