On the nonlinear stability of the rotating Bénard problem via the Lyapunov direct method
type: Item
instance of: scholarly article
title: On the nonlinear stability of the rotating Bénard problem via the Lyapunov direct method
zbMATH Open document ID: 0682.76037
DOI: 10.1016/0022-247X(89)90362-4
published in: Journal of Mathematical Analysis and Applications
publication date: 1989-01-01T00:00:00Z
Mathematics Subject Classification ID: 76E30
Mathematics Subject Classification ID: 76E15
Mathematics Subject Classification ID: 76U05
zbMATH DE Number: 4118027
zbMATH Keywords: Lyapunov direct method
zbMATH Keywords: nonlinear conditional stability
zbMATH Keywords: Bénard problem with rotation
zbMATH Keywords: nonlinear critical stability parameters
author: Giuseppe Mulone
author: S. Rionero
MaRDI profile type: Publication
cites work: Investigation of turbulent convection under a rotational constraint
cites work: The instability of a layer of fluid heated below and subject to Coriolis forces
cites work: The instability of a layer of fluid heated below and subject to Coriolis forces. II
cites work: A nonlinear analysis of the stabilizing effect of rotation in the Bénard problem
cites work: Nonlinear convection in a rotating fluid
cites work: An explicit example of Hopf bifurcation in fluid mechanics
cites work: Nonlinear Bénard convection with rotation
cites work: On the influence of Coriolis force on onset of thermal convection
cites work: Cellular convection with finite amplitude in a rotating fluid
cites work: A Study of Two of the Classical Problems of Hydrodynamic Stability by the Liapunov Method
cites work: Nonlinear stability of the magnetic Bénard problem via a generalized energy method
cites work: Q3031992
cites work: A nonlinear stability analysis of the magnetic Bénard problem through the Lyapunov direct method
cites work: Global stability of the conduction-diffusion solution
cites work: Teoremi di tipo locale per il sistema di Navier-Stokes e stabilita delle soluzioni stazionarie
cites work: The linearization principle and invariant manifolds for problems of magnetohydrodynamics
cites work: On the hydrodynamic motion in a domain with mixed boundary conditions: Existence, uniqueness, stability and linearization principle
cites work: On the nonlinear stability of a thermo-diffusive fluid mixture in a mixed problem
cites work: Q4039929
cites work: Equivalent Norms for Sobolev Spaces
cites work: Q4113511
cites work: Q4114880
cites work: On a maximum problem governing the nonlinear stability of rotating Bénard problem
description: scientific article; zbMATH DE number 4118027