@ARTICLE{10.21494/ISTE.OP.2020.0541, TITLE={Regular Solutions for the relativistic Boltzmann equation in Yang-Mills field}, AUTHOR={Dongo David, Nguelemo Kenfack Abel, }, JOURNAL={Advances in Pure and Applied Mathematics}, VOLUME={11}, NUMBER={Issue 1 (May 2020)}, YEAR={2020}, URL={https://openscience.fr/Regular-Solutions-for-the-relativistic-Boltzmann-equation-in-Yang-Mills-field}, DOI={10.21494/ISTE.OP.2020.0541}, ISSN={1869-6090}, ABSTRACT={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.}}