We interpret our previous results on the singular limits of the Navier-Stokes-Fourier system in terms of the acoustic analogies discussed briefly in Chapters 4, 5. Let us recall that an acoustic analogy is represented by a non-homogeneous wave equation supplemented with source terms obtained simply by regrouping the original (primitive) system. In the low Mach number regime, the source terms may be evaluated on the basis of the limit (incompressible) system. This is the principal idea of the so-called hybrid method used in numerical analysis. Our goal is to discuss the advantages as well as limitations of this approach in light of the exact mathematical results obtained so far.
KeywordsWeak Solution Uniform Bound Acoustic Analogy Acoustic Equation Primitive System
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