The Bénard problem for slightly compressible materials: existence and linear instability

DOI10.1007/s00009-018-1289-3zbMath1409.76134OpenAlexW2907293890MaRDI QIDQ670535

Arianna Passerini, Andrea Corli

Publication date: 18 March 2019

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1289-3

zbMATH Keywords

instabilityOberbeck-Boussinesq approximationincompressible fluidsBénard problem

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Free convection (76R10) Convection in hydrodynamic stability (76E06)

Related Items (5)

Approximation à la Oberbeck-Boussinesq for fluids with pressure-induced stratified density ⋮ Existence and uniqueness of isothermal, slightly compressible stratified flow ⋮ Bénard problem for slightly compressible fluids: existence and nonlinear stability in 3D ⋮ Existence and nonlinear stability of convective solutions for almost compressible fluids in Bénard problem ⋮ A Lorenz model for almost compressible fluids

Cites Work

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• Matrices
• Pressure boundary condition for the time-dependent incompressible Navier–Stokes equations
• Natural convection between two horizontal coaxial cylinders
• A nonlinear analysis of the stabilizing effect of rotation in the Bénard problem

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