3 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 critica…
math-ph2020
Notes on Symmetry in Convective Flows
Antonino De Martino, Arianna Passerini
In most fluid dynamics problems, the governing equations are nonlinear because of the presence of convective terms. Nevertheless, existence of solutions can be shown by direct sum…