國立清華大學 數學系

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Tea time：15:30, Room 707

Abstract:

In this talk, we will describe a time dependent functional involving the relative entropy and the H1 seminorm, which decreases along solutions to the spatially homogeneous Landau equation with Coulomb potential. The study of this monotone functional sheds light on the competition between the dissipation and the nonlinearity for this equation. It enables to obtain new results concerning regularity/blowup issues for the Landau equation with Coulomb potential. This talk is based on the joint work with L. Desvillettes and L.-B He.