A one-dimensional system, consisting of identical hard-rod particles of length a is studied in the hydrodynamical limit. A “Navier–Stokes correction” to the Euler equation is found for an initial local equilibrium family of states P_\epsilon, \epsilon > 0, of constant density. The correction is given, at t > 0, by a non-linear second order differential operator acting on f(q; v); the hydrodynamical density at a point q of the “species” of fluid with velocity v.
One-dimensional hard-rod caricature of hydrodynamics: Navier-Stokes corrections for local equilibrium initial states / Boldrighini, Carlo; Suhov, Y. U. M.. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 189:(1997), pp. 577-590. [10.1007/s002200050218]
One-dimensional hard-rod caricature of hydrodynamics: Navier-Stokes corrections for local equilibrium initial states
BOLDRIGHINI, Carlo;
1997
Abstract
A one-dimensional system, consisting of identical hard-rod particles of length a is studied in the hydrodynamical limit. A “Navier–Stokes correction” to the Euler equation is found for an initial local equilibrium family of states P_\epsilon, \epsilon > 0, of constant density. The correction is given, at t > 0, by a non-linear second order differential operator acting on f(q; v); the hydrodynamical density at a point q of the “species” of fluid with velocity v.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
