Spatial Decay Bounds in Time Dependent Pipe Flow of an Incompressible Viscous Fluid

DOI10.1137/040606326zbMath1075.35054OpenAlexW1978354624MaRDI QIDQ4652653

Changhao Lin, Lawrence E. Payne

Publication date: 28 February 2005

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/040606326

zbMATH Keywords

Saint-Venant's principleNavier-Stokes equationdecay boundsviscous pipe flow

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07)

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Improved spatial decay bounds in the plane Stokes flow ⋮ Spatial decay bounds for time dependent magnetohydrodynamic geophysical flow ⋮ Some alternative results for some nonlinear parabolic equations in the half cylinder ⋮ Phragmén–Lindelöf alternative results in time‐dependent double‐diffusive Darcy plane flow ⋮ Spatial stability of non-steady Stokes flow along a pipe ⋮ Spatial decay for solutions to 2-D Boussinesq system with variable thermal diffusivity ⋮ Some alternative results for the nonlinear viscoelasticity equations ⋮ A Phragmén-Lindelöf alternative result for the Navier-Stokes equations for steady compressible viscous flow ⋮ Phragmén-Lindelöf alternative results for the shallow water equations for transient compressible viscous flow ⋮ Spatial decay bounds for the channel flow of the Boussinesq equations ⋮ Decay estimates for homogeneous Boussinesq equations in a semi-infinite pipe ⋮ Phragmén-Lindelöf alternative results and structural stability for Brinkman fluid in porous media in a semi-infinite cylinder

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