We expand the methods developed in the previous chapter in order to handle the strongly stratified systems discussed briefly in Section 4.3. In comparison with the previous considerations, a new aspect arises, namely the thermodynamic state variables ϱ and ϑ undergo a scaling procedure similar to that of kinematic quantities like velocity, length, and time. In particular, both thermal and caloric equations of state modify their form reflecting substantial changes of the material properties of the fluid.
KeywordsMach Number Uniform Estimate Asymptotic Limit Viscous Stress Tensor Acoustic Equation
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