Regular solution for the generalized relativistic Boltzmann equation in yang-mills field

الملخص EN

We consider in this work the generalized relativistic Boltzmann equation in the presence of a Yang-Mills eld in temporal gauge on a Bianchi type 1 space-time.

Such an equation governs the evolution which collisions of plasmas, for instance of quarks and gluons (quagma), where non abelian Yang-Mills eld replace the usual electromagnetic eld.

A local in time existence and uniqueness result for the regular solution is established, using a suitable combination of Faedo Galerkin method and xed point theorem.