Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Professor Luis Silvestre, The University of Chicago
Inviter:	Nguyen Quoc Hung
Title:	The Landau equation does not blow up
Language:	Chinese
Time & Venue:	2024.01.10 10:00-11:00 Zoom ID: 924 888 5804 Passcode: AMSS2022
Abstract:	The Landau equation is one of the main equations in kinetic theory. It models the evolution of the density of particles when they are assumed to repel each other by Coulomb potentials. It is a limit case of the Boltzmann equation with very soft potentials. In the space-homogeneous case, we show that the Fisher information is monotone decreasing in time. As a consequence, we deduce that for any initial data the solutions stay smooth and never blow up, closing a well-known open problem in the area.