The rotating Bénard problem: New stability results for any Prandtl and Taylor numbers

DOI10.1007/s001610050076zbMath0906.76023OpenAlexW2026844542MaRDI QIDQ1389976

Salvatore Rionero, Giuseppe Mulone

Publication date: 14 July 1998

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s001610050076

zbMATH Keywords

Lyapunov direct methodnecessary and sufficient conditions for stabilitycritical linear stability Rayleigh numbercritical nonlinear Rayleigh numberstress-free boundary case

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30) General theory of rotating fluids (76U05)

Related Items (8)

Convection in multi-component rotating fluid layers via the auxiliary system method ⋮ Global exponential nonlinear stability for double diffusive convection in porous medium ⋮ Stability in the rotating Bénard problem with Newton-Robin and fixed heat flux boundary conditions ⋮ A study of Rayleigh-Bénard-Taylor convection in very-shallow, shallow, square and tall enclosures ⋮ Stability in the rotating Bénard problem and its optimal Lyapunov functions ⋮ Dynamic of rotating fluid layers: \(L^2\)-absorbing sets and onset of convection ⋮ Inertia effects on rotating porous convection ⋮ The Lyapunov-Movchan method in problems of the stability of flows and deformation processes

This page was built for publication: The rotating Bénard problem: New stability results for any Prandtl and Taylor numbers