Abstract
In the present chapter, using the results of Sects. 1.1–1.3 of Chap. 1, the reader can find first a mathematical formulation of a typical, initial-boundary value, unsteady NSF problem in the case of a thermally (calorically) perfect gas. Then, a more specific NSF problem of this kind is formulated for an expansible/dilatable liquid under the influence of temperature, with a specific equation of state; this is use to show the emergence of the working models for classical Bénard thermal convection, heated from below. The corresponding NSF problems are also formulated for nonlinear acoustics and atmospheric motions.
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Zeytounian, R.K. (2017). Formulation of Some NSF Unsteady Initial-Boundary Value Problems. In: Challenges in Fluid Dynamics. Springer, Cham. https://doi.org/10.1007/978-3-319-31619-2_2
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DOI: https://doi.org/10.1007/978-3-319-31619-2_2
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-31618-5
Online ISBN: 978-3-319-31619-2
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