Titre :  [FORTHCOMING] Système de Maxwell-Boltzmann bien posé dans un espace-temps de type Bianchi III 

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

Revue : Avancées en Mathématiques Pures et Appliquées 

Numéro : Articles à paraître<br> 

Volume :  

Date : 2026/02/5 

DOI : À venir 

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