A note on nonlinear stability of plane parallel shear flows

DOI10.1016/j.jmaa.2004.08.025zbMath1160.35501OpenAlexW2041655651MaRDI QIDQ1763817

Giuseppe Mulone, Ralf Kaiser

Publication date: 22 February 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.08.025

zbMATH Keywords

energy functionalnonlinear stabilityLyapunov methodPoiseuille flowCouette flowparallel shear flows

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Nonlinear effects in hydrodynamic stability (76E30) Parallel shear flows in hydrodynamic stability (76E05)

Related Items

Energy stability of plane Couette and Poiseuille flows: a conjecture ⋮ Instability in Poiseuille flow in a porous medium with slip boundary conditions and uniform vertical throughflow effects ⋮ Stability of hydromagnetic laminar flows in an inclined heated layer ⋮ Global nonlinear stability in porous convection with a thermal non-equilibrium model ⋮ Nonlinear Monotone Energy Stability of Plane Shear Flows: Joseph or Orr Critical Thresholds? ⋮ Horizontal thermal convection in a porous medium ⋮ Stability of Hartmann shear flows in an open inclined channel ⋮ Numerical methods for solving some hydrodynamic stability problems

Cites Work

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• On the nonlinear stability of parallel shear flows
• Nonlinear stability of the rotating Bénard problem, the case of \(\text{Pr}=1\)
• Necessary and sufficient conditions for the stability of flows of incompressible viscous fluids
• The energy method, stability, and nonlinear convection.
• Stability of plane-parallel Couette flow
• Nonlinear stability of the Boussines q equations by the method of energy
• Bounds on the transport of mass and momentum by turbulent flow between parallel plates
• A property of the energy stability limit for plane parallel shear flow
• A new approach to energy theory in the stability of fluid motion
• A Generalized Energy Functional for Plane Couette Flow
• Bounds on the energy stability limit of plane parallel shear flows