Exact Steady Solutions for the Two Dimensional Broadwell Model
Amah Séna d'Almeida *
Département de Mathématiques, Université de Lomé, Togo.
Kokou Anani Agosseme
Département de Mathématiques, Université de Lomé, Togo.
*Author to whom correspondence should be addressed.
Abstract
Existence and boundedness of the solutions of the boundary value problem for the four velocity two dimensional Broadwell model for bounded boundary conditions is proved and exact analytic solutions are built. An application to the determination of the accommodation coefficients on the boundaries of a flow in a box is performed.
Keywords: Discrete models, kinetic theory, Boltzmann equation, rareed gas, steady ow