@ARTICLE{À venir, 

TITLE={ [FORTHCOMING] Système de Maxwell-Boltzmann bien posé dans un espace-temps de type Bianchi III}, 
  
AUTHOR={Mabelle Yemtsa Tamekem
, Abel Kenfack Nguelemo
, David Dongo, }, 
	
JOURNAL={Avancées en Mathématiques Pures et Appliquées}, 
	
VOLUME={}, 

NUMBER={Articles à paraître<br>}, 
	
YEAR={2026}, 

URL={https://www.openscience.fr/Systeme-de-Maxwell-Boltzmann-bien-pose-dans-un-espace-temps-de-type-Bianchi-III}, 
	
DOI={À venir}, 
	
ISSN={1869-6090}, 
	
ABSTRACT={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.}}