Abstract
Equations of hydrodynamics (derived from the Boltzmann equation) beyond the Navier-Stokes level are studied by a method proposed earlier by the author. The main question we consider is the following: What is the most natural replacement for classical (ill-posed) Burnett equations?
It is shown that, in some sense, it is a two-parameter set of Generalized Burnett Equations (GBEs) derived in this paper. Some equations of this class are even simpler than original Burnett equations. The region of stability in the space of parameters and other properties of GBEs are discussed.
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Bobylev, A.V. Generalized Burnett Hydrodynamics. J Stat Phys 132, 569–580 (2008). https://doi.org/10.1007/s10955-008-9556-5
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DOI: https://doi.org/10.1007/s10955-008-9556-5