New Stabilization of the Burnett Equations when Entropy Change to $Kn^0$ Vanishes

Abstract

We assume that to zero order in the Knudsen number the deviation of the entropy from a background value vansishes. We then show that adding a super-Burnett term we obtain a stable state of rest. The resulting equations have the same form as the Burnett equations but with the value of some coefficients changed. In particular the result applies to nonlinear acoustics.