Classical Solution for the Boltzmann Equation with Absorption Term in Yang-Mills Field
DOI:
https://doi.org/10.26713/cma.v11i1.1338Keywords:
Boltzmann equation, Absorption term, Yang-Mills field, Classical solution, Bianchi type 1Abstract
We consider in this work the Boltzmann equation with absorption term in the presence of an external field which is of Yang-Mills type, on a Bianchi type 1 space-time. Such an equation governs the evolution with collisions of plasmas, for instance of quarks and gluons (quagma), where non-Abelian Yang-Mills field replaces the usual electromagnetic field. A local in time existence and uniqueness result for the classical solution is established, using a suitable combination of Faedo Galerkin method and the standard iteration method. We also prove the well-posedness of the solution.
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