An exponential decay estimate for the stationary axisymmetric perturbation of Poiseuille flow in a circular pipe

DOI10.1007/BF00942850zbMath0789.76019MaRDI QIDQ1315371

Gerardo A. Ache

Publication date: 13 June 1994

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

upper boundasymptotic solutionenergy functionalStokes problemlower boundstream function formulationcritical value of the Reynolds number

Mathematics Subject Classification ID

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

Cites Work

• Decay estimates for second-order quasilinear partial differential equations
• Plane entry flows and energy estimates for the Navier-Stokes equations
• Saint-Venant's principle
• Decay estimates for the biharmonic equation with applications to Saint-Venant principles in plane elasticity and Stokes flows
• Recent Developments Concerning Saint-Venant's Principle
• Decay Estimates in Steady Pipe Flow
• Computation of the Eigenvalues for Perturbations of Poiseuille Flow Using a Two-Point Boundary Value Method
• Stokes Flow in a Trench Between Concentric Cylinders
• The Convergence of Biorthogonal Series for Biharmonic and Stokes Flow Edge Problems: Part II
• 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
• Eigenfunctions of plane elastostatics I. The strip
• Stability of Poiseuille flow in pipes, annuli, and channels
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