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∈, ∈ > 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 ∈ R1 of the "species" of fluid with velocity v ∈ R1.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics