Speaker :
 Prof. KungChien Wu(National Kaohsiung Normal University) 

Title :

Pointwise Behavior of the Linearized Boltzmann Equation on Torus 
Time :
 20140227 (Thu) 15:00  16:00 
Place : 
Lecture Hall, Inst. of Mathematics 

Abstract: 
We study the pointwise behavior of the linearized Boltzmann equation on torus for nonsmooth initial perturbations. The result reveals both the fluid and kinetic aspects of this model. The fluidlike waves are constructed as part of the longwave expansion in the spectrum of the Fourier modes for the space variable, and the time decay rate of the fluidlike waves depends on the size of the domain. We design a Picardtype iteration for constructing the increasingly regular kineticlike waves, which are carried by the transport equations and have exponential time decay rate. The Mixture Lemma plays an important role in constructing the kineticlike waves, and we supply a new proof of this lemma without using the explicit solution of the damped transport equations. 
