@ARTICLE{TBA, 

TITLE={[FORTHCOMING] Well-Posedness of the Maxwell-Boltzmann System in a Bianchi Type III Space-Time}, 
  
AUTHOR={Mabelle Yemtsa Tamekem
, Abel Kenfack Nguelemo
, David Dongo, }, 
	
JOURNAL={Advances in Pure and Applied Mathematics}, 
	
VOLUME={}, 

NUMBER={Forthcoming papers<br>}, 
	
YEAR={2026}, 

URL={https://www.openscience.fr/Well-Posedness-of-the-Maxwell-Boltzmann-System-in-a-Bianchi-Type-III-Space-Time}, 
	
DOI={TBA}, 
	
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.}}