Hydrodynamic fluctuations in laminar fluid flow. II. Fluctuating squire equation

DOI10.1007/s10955-012-0495-9zbMath1263.82056arXiv1206.4272OpenAlexW2009382110MaRDI QIDQ1943970

José M. Ortiz de Zárate, Jan V. Sengers

Publication date: 3 April 2013

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.4272

zbMATH Keywords

Orr-Sommerfeld equationfluctuating hydrodynamicsplane Couette flowlaminar fluid flowvorticity fluctuationsenergy amplificationSquire equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Statistical mechanics of liquids (82D15) PDEs in connection with statistical mechanics (35Q82)

Related Items

Transition to turbulence in shear flows, Analytical and Computational Studies of Correlations of Hydrodynamic Fluctuations in Shear Flow

Cites Work

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• Hydrodynamic fluctuations in laminar fluid flow. I: Fluctuating Orr-Sommerfeld equation
• Stability and transition in shear flows
• Velocity fluctuations in laminar fluid flow
• A streamwise constant model of turbulence in plane Couette flow
• On the application of infinite systems of ordinary differential equations to perturbations of plane Poiseuille flow
• Energy amplification in channel flows with stochastic excitation
• Amplification of coherent streaks in the turbulent Couette flow: an input–output analysis at low Reynolds number
• Formation of turbulent patterns near the onset of transition in plane Couette flow
• A resonance mechanism in plane Couette flow
• Integrals of products of Airy functions
• Stochastic forcing of the linearized Navier–Stokes equations
• Very large structures in plane turbulent Couette flow
• Transition in shear flows. Nonlinear normality versus non-normal linearity
• Componentwise energy amplification in channel flows
• Contributions to Non-Equilibrium Thermodynamics. I. Theory of Hydrodynamical Fluctuations