Exact linear hydrodynamics from the Boltzmann equation

Abstract

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 hydrodynamic equations are cast in a form which allows us to immediately prove their hyperbolicity, stability, and existence of an H-theorem.

4 pages, 3 figures

References in corpus (4)

• Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy
• High-Frequency Nanofluidics: An Experimental Study using Nanomechanical Resonators
• From hyperbolic regularization to exact hydrodynamics for linearized Grad's equations
• Hyperbolicity of exact hydrodynamics for three-dimensional linearized Grad's equations

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