Invertibility of the Poiseuille linearization for stationary two-dimensional channel flows: Symmetric case

DOI10.1007/PL00012525zbMath1029.76011OpenAlexW1988283320MaRDI QIDQ1871720

Patrick J. Rabier

Publication date: 4 May 2003

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00012525

zbMATH Keywords

fluxSobolev spaceexistenceperturbationlinearizationstationary Navier-Stokes systemFredholm operatorsinvertibilitysemi-Fredholm operatorspartial Fourier transformgeometric symmetryLegrendre polynomialsOrr-Sommerfeld operatorsPoiseuille solutionsemi-infinite two-dimensional channels

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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Uniform structural stability of Hagen-Poiseuille flows in a pipe ⋮ Uniqueness and uniform structural stability of Poiseuille flows in a two-dimensional strip ⋮ Uniqueness and uniform structural stability of Poiseuille flows in a periodic pipe with Navier boundary conditions ⋮ Uniqueness and uniform structural stability of Poiseuille flows in an infinitely long pipe with Navier boundary conditions ⋮ Steady Navier-Stokes equations with Poiseuille and Jeffery-Hamel flows in \(\mathbb R^2\) ⋮ A stationary solution of the Navier–Stokes equations in a perturbed layer domain in ℝ3 ⋮ Existence and asymptotic behavior of large axisymmetric solutions for steady Navier-Stokes system in a pipe

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