2 papers
math.AP2025
Natural convection in the horizontal annulus: critical Rayleigh number for the steady problem
Arianna Passerini, Bernd Rummler, Michael Ruzicka +1
For the 2D Oberbeck-Boussinesq system in an annulus we are looking for the critical Rayleigh number for which the (nonzero) basic flow loses stability. For this we consider the cor…
math.AP2024
A Lorenz Model for an Anelastic Oberbeck-Boussinesq System
Diego Grandi, Arianna Passerini, Manuela Trullo
In an Oberbeck-Boussinesq model, rigorously derived, which includes compressibility, one could expect that the onset of convection for the Bénard problem occurs at a higher critic…