A stochastic system of particles modelling the Euler equations |
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Authors: | Miroslaw Lachowicz Mario Pulvirenti |
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Institution: | (1) Dipartimento di Matematica Pura ed Applicata, Università dell'Aquila, L'Aquila, Italy |
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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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