國立清華大學 數學系

Abstract: In this talk, I will show the pointwise behaviour of the linearized 1D Landau equation. The results reveal the particle and fluid aspects of the equation. The fluid-like waves reveal the dissipative behaviour of the type of the Navier-Stokes equation as usually seems by the Chapman-Enskog expansion, it represents the long time behaviour of the solution. The kinetic-like waves dominate the short time behavior, the smoothing effect of these waves come from the ellipticity in the velocity variable of the linearized collision operator and the transport part of the equation. This is a joint work with Kung-Chien Wu.