Nonlinear Acoustics Equations to Third Order. New Stabilization of the Burnett Equations

摘要

For nonlinear acoustics for ultrahigh frequencies it is necessary to go beyond the Navier-Stokes equations. For a gas the next set of equations due to Burnett were shown by Bobylev to have an unphysical instability. The Burnett equations are here stabilized as a set of equations for the fluid dynamic variables ρ, v, T, first in an approximation adequate for third order nonlinear acoustics and then in the general case.