The classical limit of the relativistic Vlasov-Maxwell system (Q1078771)

This paper starts by showing that for smooth Cauchy data, classical solutions exist for the relativistic Vlasov-Maxwell system of equations on a time interval independent of the speed of light c. An integral representation for the electric and magnetic fields in the relativistic Vlasov-Maxwell system of equations is then used to find conditions under which solutions of this system converge pointwise to solutions of the non-relativistic Vlasov-Poisson system. The convergence is shown to be at the asymptotic rate of 1/c as c tends to infinity.