Stationary boundary value problems for the Broadwell model in a half-space and in a half-infinite channel are considered. By means of the analogy between the stationary boundary value problems for the Broadwell equations and the initial-boundary value problem of Carleman's system, solutions are found for various situations. Uniqueness and non-uniqueness of solutions is discussed as well. The non-uniqueness problem in the channel leads to the investigation of the initial value problem for Carleman's equation with partly negative initial densities. Some new results for this problem are given.
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Received January 20, 1996
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Bobylev, A., Toscani, G. Two dimensional half-space problems for the Broadwell discrete velocity model . Continuum Mech Thermodyn 8, 257–274 (1996). https://doi.org/10.1007/s001610050043
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DOI: https://doi.org/10.1007/s001610050043