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A stochastic system of particles modelling the Euler equations. (English) Zbl 0682.76002
Summary: We consider a system of N spheres interacting through elastic collisions at a stochastic distance. In the limit \(N\to \infty\), 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.

76A05 Non-Newtonian fluids
76Nxx Compressible fluids and gas dynamics
60H15 Stochastic partial differential equations (aspects of stochastic analysis)
Full Text: DOI
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