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arXiv · 1811.03237

Reynolds' Limit Formula for Dorodnitzyn's Atmospheric Boundary Layer in Convective Conditions

C. V. Valencia-Negrete·C. Gay-García·A. A. Carsteanu
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Abstract

Atmospheric convection is an essential aspect of atmospheric movement, and it is a source of errors in Climate Models. Being able to generate approximate limit formulas and compare the estimations they produce, could give a way to reduce them. In this article, it is shown that it is enough to assume that the velocity's $L^2$-norm is bounded, has locally integrable, $L^1_{loc}$, weak partial derivatives up to order two, and a negligible variation of its first velocity's coordinate in direction parallel to the surface, to obtain a Reynolds' limit formula for a Dorodnitzyn's compressible gaseous Boundary Layer in atmospheric conditions.

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C. V. Valencia-Negrete, C. Gay-García, A. A. Carsteanu. 2018-11-08. Reynolds' Limit Formula for Dorodnitzyn's Atmospheric Boundary Layer in Convective Conditions. https://doi.org/10.12732/ijam.v31i4.12

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