國立清華大學 數學系

Abstract: The relativistic Boltzmann equation describes the evolution of the statistical distribution of gaseous particles in Minkowsky space-time. The spatially homogenous problem corresponds to the situation where no macroscopic movement is observed in the gas. But the dynamics at the molecular level is still active and complicated, which is captured by the collision operator. Extensive work have been done for the homogeneous Boltzmann equation for classical particles, but very few is known for the relativistic case. In this talk, we consider the Cauchy problem for the spatially homogeneous relativistic Boltzmann equation and study how the exponential moments of the distribution function propagate in time. This is a joint work with Robert Strain. Tea Time: 3:30PM R707