中科院数学与系统科学研究院
数学研究所
学术报告
调和分析和偏微分方程研讨班
报告人：Professor Luis Silvestre (The University of Chicago)
题 目：The Landau equation does not blow up
时 间：2024.01.10（星期三）10:00-11:00
地 点：Zoom ID: 924 888 5804 Passcode: AMSS2022
摘 要：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.
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