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Mathématiques   > Accueil   > Avancées en Mathématiques Pures et Appliquées   > Numéro 1 (Mai 2020)   > Article

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

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


Dongo David
University of Dschang
Cameroon

Nguelemo Kenfack Abel
University of Dschang
Cameroon



Publié le 3 juillet 2020   DOI : 10.21494/ISTE.OP.2020.0541

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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