Titre : [FORTHCOMING] Well-Posedness of the Maxwell-Boltzmann System in a Bianchi Type III Space-Time 

Auteurs : Mabelle Yemtsa Tamekem
, Abel Kenfack Nguelemo
, David Dongo,  

Revue : Advances in Pure and Applied Mathematics 

Numéro : Forthcoming papers<br> 

Volume :  

Date : 2026/02/5 

DOI : TBA 

ISSN : 1869-6090 

Résumé : 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. 

Éditeur : ISTE OpenScience