Summary
The discrete-velocity models of the extended kinetic equations are analysed for the case of a gas of test particles scattering between themselves and absorbed or generated by a background medium. Exact analytical solutions to the set of hyperbolic semilinear first-order PDE governing the components of the particle distribution function are investigated. Particular solutions of different type satisfying special initial conditions are determined or discussed.
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Oggioni, S., Spiga, G. On exact solutions to a discrete-velocity model of the extended kinetic equations. Nuovo Cim B 106, 9–20 (1991). https://doi.org/10.1007/BF02723124
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DOI: https://doi.org/10.1007/BF02723124