Uniform structural stability of Hagen-Poiseuille flows in a pipe

DOI10.1007/s00220-022-04389-8OpenAlexW2987094266MaRDI QIDQ2159233

Yun Wang, Chunjing Xie

Publication date: 28 July 2022

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.00749

zbMATH Keywords

stabilityboundary layerPoiseuille flowNavier-Stokes equations in a pipe

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear effects in hydrodynamic stability (76E30) Navier-Stokes equations (35Q30)

Related Items (6)

Uniqueness and uniform structural stability of Poiseuille flows in a two-dimensional strip ⋮ Steady-state Navier-Stokes flow in an obstructed pipe under mixed boundary conditions and with a prescribed transversal flux rate ⋮ Uniqueness and uniform structural stability of Poiseuille flows in a periodic pipe with Navier boundary conditions ⋮ Uniform linear inviscid damping and enhanced dissipation near monotonic shear flows in high Reynolds number regime. I: The whole space case ⋮ On Leray's problem in an infinitely long pipe with the Navier-slip boundary condition ⋮ Uniqueness and uniform structural stability of Poiseuille flows in an infinitely long pipe with Navier boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Steady solutions of the Navier-Stokes equations representing plane flow in channels of various types
• Plane entry flows and energy estimates for the Navier-Stokes equations
• Determination of the solutions of boundary value problems for stationary Stokes and Navier-Stokes equations having an unbounded Dirichlet integral
• Invertibility of the Poiseuille linearization for stationary two-dimensional channel flows: Nonsymmetric case
• Invertibility of the Poiseuille linearization for stationary two-dimensional channel flows: Symmetric case
• Linearized pipe flow to Reynolds number \(10^7\).
• Existence and asymptotic behavior of large axisymmetric solutions for steady Navier-Stokes system in a pipe
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Resolvent bounds for pipe Poiseuille flow
• Decay Estimates in Steady Pipe Flow
• Elliptic Partial Differential Equations of Second Order
• Properties of steady Navier–Stokes solutions for certain unbounded channels and pipes
• Spatial Decay Estimates for the Navier–Stokes Equations with Application to the Problem of Entry Flow
• On stationary two‐dimensional flows around a fast rotating disk
• Asymptotics of solutions of the stationary Navier-Stokes system of equations in a domain of layer type
• Hydrodynamic Stability
• Characterization and Regularity for Axisymmetric Solenoidal Vector Fields with Application to Navier–Stokes Equation
• Bounds for modified Bessel functions of the first and second kinds
• Stability of Poiseuille flow in a pipe for large Reynolds number
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• Bounds for modified Bessel functions

This page was built for publication: Uniform structural stability of Hagen-Poiseuille flows in a pipe