TY  - Type of reference 
TI  - Système de Maxwell-Boltzmann bien posé dans un espace-temps de type Bianchi III 
AU  - Mabelle Yemtsa Tamekem
 
AU  - Abel Kenfack Nguelemo
 
AU  - David Dongo 
AB  - 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. 
DO  - 10.21494/ISTE.OP.2026.1443 
JF  - Avancées en Mathématiques Pures et Appliquées 
KW  - Relativistic Boltzmann equation, Maxwell equation, existence and uniqueness, 
regularity, Relativistic Boltzmann equation, Maxwell equation, existence and uniqueness, 
regularity,  
L1  - https://www.openscience.fr/IMG/pdf/iste_apam26v17n2_3.pdf 
LA  - fr 
PB  - ISTE OpenScience 
DA  - 2026/03/25 
SN  - 1869-6090 
TT  - Well-Posedness of the Maxwell-Boltzmann System in a Bianchi Type III Space-Time 
UR  - https://www.openscience.fr/Systeme-de-Maxwell-Boltzmann-bien-pose-dans-un-espace-temps-de-type-Bianchi-III 
IS  - Numéro 2 (Mars 2026) 
VL  - 17 
ER  -