A derivation of the Broadwell equation |
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| Authors: | S. Caprino A. DeMasi E. Presutti M. Pulvirenti |
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| Affiliation: | (1) Dipartimento di Matematica Pura ed Applicata, Università dell' Aquila, I-67100 L'Aquila, Italy;(2) Dipartimento di Matematica, Università di Roma, Tor Vergata, I-00133 Roma, Italy |
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| Abstract: | We consider a stochastic system of particles in a two dimensional lattice and prove that, under a suitable limit (i.e.N  ,  0,N2const, whereN is the number of particles and is the mesh of the lattice) the one-particle distribution function converges to a solution of the two-dimensional Broadwell equation for all times for which the solution (of this equation) exists. Propagation of chaos is also proven.Research partially supported by CNR-PS-MMAIT |
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