recent results are reported by which the general idea of the hydrodynamic limit is made rigorous for the case of an infinite system of one-dimensional elastic hard rods. A law of large numbers for the particle trajectories is proved from which the "Euler equations" of the system are deduced. An existence and uniqueness theorem for the equations is also given.
Hydrodynamics for one-dimensional identical hard rods / Boldrighini, Carlo. - In: PHYSICA. A. - ISSN 0378-4371. - STAMPA. - 124A:(1984), pp. 115-126. (Intervento presentato al convegno Mathematical Physics VII tenutosi a Boulder, Colorado (USA) nel 1-10 Agosto 1983) [10.1016/0378-4371(84)90231-0].
Hydrodynamics for one-dimensional identical hard rods
BOLDRIGHINI, Carlo
1984
Abstract
recent results are reported by which the general idea of the hydrodynamic limit is made rigorous for the case of an infinite system of one-dimensional elastic hard rods. A law of large numbers for the particle trajectories is proved from which the "Euler equations" of the system are deduced. An existence and uniqueness theorem for the equations is also given.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.