Abstract
We consider a system of N spheres interacting through elastic collisions at a stochastic distance. In the limit N → ∞, for a suitable rescaling of the interaction parameters, we prove that the one-particle distribution function converges to a local Maxwellian, whose gross density, velocity, and temperature satisfy the Euler equation.
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Lachowicz, M., Pulvirenti, M. A stochastic system of particles modelling the Euler equations. Arch. Rational Mech. Anal. 109, 81–93 (1990). https://doi.org/10.1007/BF00377981
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DOI: https://doi.org/10.1007/BF00377981