Viscosity Solutions for the Vlasov Equation in the Presence of a Yang-Mills Field in Temporal Gauge

Abstract

In this paper, the method of vanishing viscosity described by Evans [10] is used to prove, the existence and uniqueness theorems for the viscosity solution of the Vlasov equation in the presence of a Yang-Mills field in temporal gauge. Such equation governs the evolution without collisions of plasmas, for instance of quarks and gluons (quagmas), where non Abelian gauge fields and Yang-Mills charges replace the usual electromagnetic field and electric charges.