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arXiv · 2408.05830

A Lorenz Model for an Anelastic Oberbeck-Boussinesq System

Diego Grandi·Arianna Passerini·Manuela Trullo
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Abstract

In an Oberbeck-Boussinesq model, rigorously derived, which includes compressibility, one could expect that the onset of convection for the B\'enard problem occurs at a higher critical Rayleigh number. Since of the difficulties related to the new partial differential equations, with non constant coefficients and a non divergence-free velocity field, we show the increased stability of the rest state by exploring the related Lorenz approximation system.

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Diego Grandi, Arianna Passerini, Manuela Trullo. 2024-08-11. A Lorenz Model for an Anelastic Oberbeck-Boussinesq System. https://arxiv.org/abs/2408.05830

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