A stationary solution of the Navier–Stokes equations in a perturbed layer domain in ℝ3

DOI10.1142/S0129167X16500208zbMath1334.35206MaRDI QIDQ2797904

Teppei Kobayashi

Publication date: 1 April 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

stationary Navier-Stokes equationslayer domainthe Poiseuille flow

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Cites Work

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• Solvability of the problem of effluence of a viscous imcompressible fluid into an infinite open basin
• On the solvability of the Stokes and Navier-Stokes problems in the domains that are layer-like at infinity
• Strong solutions of the steady nonlinear Navier-Stokes system in domains with exits to infinity
• 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
• Time-periodic solutions of the Navier-Stokes equations in unbounded cylindrical domains-Leray's problem for periodic flows
• The relation between stationary and periodic solutions of the Navier-Stokes equations in two or three dimensional channels
• A remark on the existence of steady Navier-Stokes flows in 2D semi-infinite channel involving the general outflow condition
• Properties of steady Navier–Stokes solutions for certain unbounded channels and pipes
• Stability of Poiseuille flow in pipes, annuli, and channels

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