Necessary and sufficient conditions for the stability of flows of incompressible viscous fluids

DOI10.1007/BF00391555zbMath0809.76029MaRDI QIDQ1337968

Wolf von Wahl

Publication date: 14 November 1994

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

infinite rotating layermonotonic energy stabilityplane parallel shear flowstability against small disturbances

Mathematics Subject Classification ID

Boundary-layer theory, separation and reattachment, higher-order effects (76D10) General theory of rotating fluids (76U05) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (9)

On the nonlinear stability of parallel shear flow in the presence of a coplanar magnetic field ⋮ Asymptotic stability of higher order norms in terms of asymptotic energy stability for viscous incompressible fluid flows heated from below ⋮ On the nonlinear stability of plane parallel shear flow in a coplanar magnetic field ⋮ The nonlinear stability of plane parallel shear flows with respect to tilted perturbations ⋮ Global stability of a conduction-diffusion system with superimposed plane parallel shear flows ⋮ On the spectrum of Euler–Lagrange operator in the stability analysis of Bénard problem ⋮ A note on nonlinear stability of plane parallel shear flows ⋮ A new approach to the nonlinear stability of viscous flow in a coplanar magnetic field ⋮ Stability and bifurcation in viscous incompressible fluids

Cites Work

• Invariant and complete stress functions for general continua
• Stability of higher norms in terms of energy-stability for the Boussinesq equations: Remarks on the asymptotic behaviour of convection-roll-type solutions
• A property of the energy stability limit for plane parallel shear flow
• Stability and bifurcation in fluid dynamics
• A new approach to energy theory in the stability of fluid motion
• Instabilities of convection rolls with stress-free boundaries near threshold
• Über notwendige und hinreichende Kriterien für die Stabilität von Strömungen
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