Exact (to all orders in Knudsen number) equations of linear hydrodynamics are derived from the Boltzmann kinetic equation with the Bhatnagar-Gross-Krook collision integral. The exact hydrodynamicâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2007

We extend to the three-dimensional situation a recent proof of hyperbolicity of the exact (to all orders in Knudsen number) linear hydrodynamics obtained from Grad's moment system [M. Colangeli, I.â€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2007

Inspired by a recent hyperbolic regularization of Burnett's hydrodynamic equations [A. Bobylev, J. Stat. Phys. 124, 371 (2006)], we introduce a method to derive hyperbolic equations of linearâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2009

We apply the method of invariant manifolds to derive equations of generalized hydrodynamics from the linearized Boltzmann equation and determine exact transport coefficients, obeying Green-Kuboâ€¦ (More)

Steady state fluctuation relations for dynamical systems are commonly derived under the assumption of some form of time reversibility and of chaos. There are, however, cases in which they areâ€¦ (More)

We consider Markovian dynamics modeling open mesoscopic systems which are driven away from detailed balance by a nonconservative force. A systematic expansion is obtained of the stationaryâ€¦ (More)