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Rigorous Bounds on Scaling Laws in Fluid Dynamics

Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 2200)

Abstract

Consider a fluid between two parallel plates of unit distance, heated from below and cooled from above with unit temperature difference. The dynamics inside the container are well described by the following system of partial differential equations:

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Correspondence to Felix Otto .

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Otto, F., Pottel, S., Nobili, C. (2017). Rigorous Bounds on Scaling Laws in Fluid Dynamics. In: Feireisl, E., Rocca, E. (eds) Mathematical Thermodynamics of Complex Fluids. Lecture Notes in Mathematics(), vol 2200. Springer, Cham. https://doi.org/10.1007/978-3-319-67600-5_3

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