Abstract
We derive rigorously the fluid-dynamical equations for the one-dimensional discrete velocity model, considered in [1], directly from the BBGKY hierarchy of this model. The model we consider is not a mathematical one like the well-known Broadwell models of the Boltzmann equation [2]. It is also different from the Broadwell model of the BBGKY hierarchy considered in [3], the stochastic model dealt with in [4] and lattice gas cellular automata as well ( see e.g.[5] and references therein). It is a deterministic model which can be regarded as physically realistic. The scheme that we present is apparently the first where the fluid limit for such a system is obtained in a rigorous way from the BBGKY hierarchy.
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© 1994 Springer Science+Business Media New York
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Gorunovich, V. (1994). The Fluid-Dynamical Limit for the BBGKY Hierarchy of a Discrete Velocity Model. In: Fannes, M., Maes, C., Verbeure, A. (eds) On Three Levels. NATO ASI Series, vol 324. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2460-1_37
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DOI: https://doi.org/10.1007/978-1-4615-2460-1_37
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