A priori estimates for the weak solutions to the Boltzmann equation with grazing collisions

A priori estimates for the weak solutions to the Boltzmann equation with grazing collisions

Mon, 26/04/2010
12:30 		Yong-Kum Cho (Chung-Ang University) OxPDE Lunchtime Seminar Add to calendar Gibson 1st Floor SR
A priori estimates for the weak solutions to the Boltzmann equation with grazing collisions
In this talk we consider the Boltzmann equation arising in gas dynamics with long-range interactions. Mathematically, it involves bilinear singular integral operators known as collision operators with non-cutoff collision kernels. As for the associated Cauchy problem, we develop a theory of weak solutions and present some of its a priori estimates related with physical quantities including the energy and moments.