A Lorenz Model for an Anelastic Oberbeck-Boussinesq System
Analysis of PDEs
2024-08-13 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2408.05830,
title = {A Lorenz Model for an Anelastic Oberbeck-Boussinesq System},
author = {Diego Grandi and Arianna Passerini and Manuela Trullo},
journal= {arXiv preprint arXiv:2408.05830},
year = {2024}
}