Mathematics > Home > Advances in Pure and Applied Mathematics > Forthcoming papers > Article
Mabelle Yemtsa Tamekem
University of Dschang
Cameroon
Abel Kenfack Nguelemo
University of Dschang
Cameroon
David Dongo
University of Dschang
Cameroon
Validated on 4 February 2026 DOI : TBA
This paper investigates the Maxwell-Boltzmann system in the framework of a Bianchi type III space-time. We conduct a rigorous mathematical analysis of the system, emphasizing its structural properties, functional setting, and energy estimates. By employing a combination of the Faedo-Galerkin method and the standard iteration technique, we establish the local-in-time existence and uniqueness of a solution with good regularity. Our approach carefully integrates the geometric constraints imposed by the Bianchi type III background, ensuring a well-posed formulation of the problem. These results contribute to a broader study of the relativistic kinetic theory in anisotropic cosmological models.
This paper investigates the Maxwell-Boltzmann system in the framework of a Bianchi type III space-time. We conduct a rigorous mathematical analysis of the system, emphasizing its structural properties, functional setting, and energy estimates. By employing a combination of the Faedo-Galerkin method and the standard iteration technique, we establish the local-in-time existence and uniqueness of a solution with good regularity. Our approach carefully integrates the geometric constraints imposed by the Bianchi type III background, ensuring a well-posed formulation of the problem. These results contribute to a broader study of the relativistic kinetic theory in anisotropic cosmological models.
Relativistic Boltzmann equation Maxwell equation existence and uniqueness regularity
Relativistic Boltzmann equation Maxwell equation existence and uniqueness regularity
