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Mathematics   > Home   > Advances in Pure and Applied Mathematics   > Issue 1   > Article

Regular Solutions for the relativistic Boltzmann equation in Yang-Mills field

Solutions régulières pour l’équation relativiste de Boltzmann dans le domaine de Yang-Mills


Dongo David
University of Dschang
Cameroon

Nguelemo Kenfack Abel
University of Dschang
Cameroon



Published on 3 July 2020   DOI : 10.21494/ISTE.OP.2020.0541

Abstract

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We consider in this work the Boltzmann equation in the presence of a Yang-Mills fields in temporal gauge, which generalizes to the non-Abelian case the electromagnetic field. We prove, using the method presented by N. Noutchegueme and R. D. Ayissi [2], a local in time existence and uniqueness theorem for the regular solutions.

We consider in this work the Boltzmann equation in the presence of a Yang-Mills fields in temporal gauge, which generalizes to the non-Abelian case the electromagnetic field. We prove, using the method presented by N. Noutchegueme and R. D. Ayissi [2], a local in time existence and uniqueness theorem for the regular solutions.

Relativistic Boltzmann equation charged particles Yang-Mills field regular solution existence and uniqueness

Relativistic Boltzmann equation charged particles Yang-Mills field regular solution existence and uniqueness