Convection of a dielectric fluid confined in a differentially heated annulus with an
inhomogeneous radial electric field is investigated under different gravity conditions. The …

We study a generalization of the Oberbeck–Boussinesq system, which consists in a
buoyancy term where the density depends also on the pressure. A new pressure equation is …

Two different problems are proposed as approximations of the usual system modelling
natural convection under the Oberbeck–Boussinesq assumptions. The error is evaluated by …

We study the nonlinear almost compressible 2D Oberbeck-Boussinesq system,
characterized by an extra buoyancy term where the density depends on the pressure, and a …

Starting from the almost compressible 2-D Oberbeck–Boussi nesq system, characterized by
an extra buoyancy term which is pressure-dependent, we write the corresponding Lorenz …

For arbitrary Rayleigh number, Ra, Prandtl number, and any ratio of the cylindrical radii,
existence of steady solutions of the two-dimensional Oberbeck–Boussinesq system is …

We consider a model for convection in compressible fluids in two dimensions. A constitutive
limit is studied in which both the mechanical compressibility and thermal expansion affect …

Natural convection in the gap between two infinitely long horizontal coaxial cylindrical
surfaces, each of which is maintained at constant temperature, is studied. If the inverse …

For any aspect ratio R o/R i of the cylinder radii, the non-linear stability of the steady 2D-
solutions of the non-linear Stokes system, which is an approximation of the Oberbeck …

Laminar upward mixed convection in an inclined concentric straight annulus is studied
numerically in this paper. The governing equations including for continuity, the three …