Special Session 102: 

Global classical solutions to the Vlasov-Nordstrom-Fokker-Planck system

Renjun Duan
Chinese University of Hong Kong
Hong Kong
Co-Author(s):    Shuangqian Liu, Tong Yang
The Vlasov-Nordstrom-Fokker-Planck system, which represents a relativistic generalization of the well-known Vlasov-Poisson-Fokker-Planck system in the gravitational case, describes the ensemble motion of collision particles interacting by means of their own self-generated gravitational forces. We prove the global existence and large-time decay rates of classical solutions to the corresponding Cauchy problem for small smooth initial data. The proof is based on the analysis of the linearized system together with the nonlinear energy method.