Global Classical Solutions of the 1.5D Relativistic Vlasov-Maxwell-Chern-Simons System

We investigate the kinetic model of the relativistic Vlasov-Maxwell-Chern-Simons system, which originates from gauge theory. This system can be seen as an electromagnetic fields (i.e., Maxwell-Chern-Simons fields) perturbation for the classical Vlasov equation. By virtue of a nondecreasing function and an iteration method, the uniqueness and existence of the global solutions for the 1.5D case are obtained.