SPATIAL DECAY BOUNDS IN THE CHANNEL FLOW OF AN INCOMPRESSIBLE VISCOUS FLUID

DOI10.1142/S0218202504003453zbMath1185.35024MaRDI QIDQ5315603

Changhao Lin, Lawrence E. Payne

Publication date: 9 September 2005

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

decay boundsenergy decay estimatesviscous channel flow

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30)

Related Items (15)

Improved spatial decay bounds in the plane Stokes flow ⋮ Spatial decay bounds for time dependent magnetohydrodynamic geophysical flow ⋮ Phragmén-Lindelöf and continuous dependence type results in a Stokes 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 ⋮ Time-periodic Poiseuille flow in a pipe for some classes of fluids ⋮ 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 ⋮ On the nonstationary linearized Navier-Stokes problem in domains with cylindrical outlets to infinity ⋮ Continuous dependence for solutions to 2-D Boussinesq system channel flow ⋮ Phragmén-Lindelöf alternative results and structural stability for Brinkman fluid in porous media in a semi-infinite cylinder

Cites Work

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• Parameter determination in parabolic partial differential equations from overspecified boundary data
• On the spatial decay of solutions of the heat equation
• Uniqueness and continuous dependence criteriafor the Navier-Stokes equations
• ON THE SPATIAL DECAY OF ILL-POSED PARABOLIC PROBLEMS
• Spatial decay estimates in transient heat conduction
• Decay Estimates in Steady Pipe Flow
• Spatial Decay Estimates for the Navier–Stokes Equations with Application to the Problem of Entry Flow
• SPATIAL DECAY IN THE PIPE FLOW OF A VISCOUS FLUID INTERFACING A POROUS MEDIUM
• POINTWISE BOUNDS AND SPATIAL DECAY ESTIMATES IN HEAT CONDUCTION PROBLEMS
• Analytic Inequalities

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