Linear Stability of Pipe Poiseuille Flow at High Reynolds Number Regime

DOI10.1002/cpa.22054arXiv1910.14245OpenAlexW2982614541MaRDI QIDQ6073406

Publication date: 11 October 2023

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.14245

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

Related Items (4)

Linear inviscid damping and enhanced dissipation for monotone shear flows ⋮ Uniqueness and uniform structural stability of Poiseuille flows in a two-dimensional strip ⋮ Tollmien–Schlichting waves in the subsonic regime ⋮ Enhanced dissipation and transition threshold for the Poiseuille-Couette flow

Cites Work

Unnamed Item
Unnamed Item
On the stability threshold for the 3D Couette flow in Sobolev regularity
Spectral instability of characteristic boundary layer flows
Hydrodynamic instability and transition to turbulence
Transition threshold for the 2-D Couette flow in a finite channel
Spectra and pseudospectra for pipe Poiseuille flow
Stability and transition in shear flows
Gevrey stability of Prandtl expansions for 2-dimensional Navier-Stokes flows
The Sobolev stability threshold for 2D shear flows near Couette
Stability of plane-parallel Couette flow
Linearized pipe flow to Reynolds number \(10^7\).
Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method
On the stability of laminar flows between plates
Enhanced dissipation in the Navier-Stokes equations near the Poiseuille flow
On pseudospectral bound for non-selfadjoint operators and its application to stability of Kolmogorov flows
Enhanced dissipation for the Kolmogorov flow via the hypocoercivity method
An Introduction to the Mathematical Theory of the Navier-Stokes Equations
Hydrodynamic Stability Without Eigenvalues
Dynamics Near the Subcritical Transition of the 3D Couette Flow I: Below Threshold Case
Resolvent bounds for pipe Poiseuille flow
Streak breakdown instability in pipe Poiseuille flow
On stability of streamwise streaks and transition thresholds in plane channel flows
Optimal growth of small disturbances in pipe Poiseuille flow
Subcritical transition in channel flows
On the instability of pipe Poiseuille flow
On the role of linear mechanisms in transition to turbulence
Transient growth in circular pipe flow. I. Linear disturbances
Transition Threshold for the <scp>3D</scp> Couette Flow in Sobolev Space
Stability of Poiseuille flow in a pipe for large Reynolds number
Pseudospectral Bound and Transition Threshold for the 3D Kolmogorov Flow
On the Relation between Enhanced Dissipation Timescales and Mixing Rates
Pseudospectral and spectral bounds for the Oseen vertices operator
Stability of the Couette flow at high Reynolds numbers in two dimensions and three dimensions
Finite-amplitude thresholds for transition in pipe flow
Optimal energy density growth in Hagen–Poiseuille flow
Recent progress in understanding the transition to turbulence in a pipe

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