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Research Article Open access CC BY 4.0

Exact Steady Solutions for the Two Dimensional Broadwell Model

Amah Séna d'Almeida, Kokou Anani Agosseme

Journal of Advances in Mathematics and Computer Science · pp. 1–14 · Published 14 Dec 2019

10.9734/jamcs/2019/v34i430220

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.

Discrete models kinetic theory Boltzmann equation rareed gas steady ow

Cited by 2

Global existence and uniqueness for the planar four-velocity Broadwell model with arbitrary $C^{1}$ bounded initial and boundary data in a rectangular domain

Koudzo Togbévi Selom Sobah, A. S. D'Almeida · 2026

Global-in-time existence and uniqueness of classical solutions to the unsteady initial-boundary value problem for the four-velocity planar Broadwell model in a rectangular domain

Koudzo Togbévi Selom Sobah, A. S. D'Almeida · 2026

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