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A stochastic system of particles modelling the Euler equations
Authors:Miroslaw Lachowicz  Mario Pulvirenti
Institution:(1) Dipartimento di Matematica Pura ed Applicata, Università dell'Aquila, L'Aquila, Italy
Abstract:We consider a system of N spheres interacting through elastic collisions at a stochastic distance. In the limit N rarr infin, 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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