On exact solutions to a discrete-velocity model of the extended kinetic equations
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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.
PACS 05.20. DdKinetic theory PACS 51.10 Kinetic and transport theory
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- G. Borgioli, R. Monaco andG. Toscani: Report 8/1989, Politecnico di Torino.Google Scholar
- N. Bellomo andS. Kawashima: Report 17/1989, Politecnico di Torino.Google Scholar
- R. Monaco, M. Pandolfi Bianchi andT. Platkowski:Shock-waves formation by the discrete Boltzmann equation for binary gas mixtures, inActa Mechanica, in press.Google Scholar
- J. M. Greenberg andL. L. Aist:Arch. Ration. Mech. Anal., submitted for publication.Google Scholar
- G. Spiga:Rigorous solution to the extended kinetic equations for homogeneous gas mixtures, inIII International Workshop «Mathematical Aspects of Fluid and Plasma Dynamics» in press asSpringer Lecture Notes in Mathematics.Google Scholar
- G. Spiga, G. Dukek andV. C. Boffi:Scattering kernel formulation of the discrete velocity model of the extended Boltzmann system inDiscrete Kinetic Theory, Lattice Gas Dynamics and Foundation of Hydrodynamics, edited byR. Monaco (World Scientific, Singapore, 1989), p. 315.Google Scholar
- G. Spiga:Extended kinetic equations for gas mixtures, inXI International Transport Theory Conference, Blacksburg, May 1989, in press.Google Scholar
- M. Abramowitz andI. A. Stegun (Editors).Handbook of Mathematical Functions (Dover, New York, N.Y., 1972).Google Scholar