Seminar Analysis and Mathematical Physics: Shuchen Guo (University of Oxford)

Recent Progress on the Mean-Field Derivation of the Space-Homogeneous Landau Equation

We consider the Kac model for the space-homogeneous Landau equation with the Coulomb potential. We show that the Fisher information of the Liouville equation for the unmodified N-particle system is monotonically decreasing in time. The monotonicity ensures the compactness to derive a weak solution of the Landau hierarchy.

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