Exterior Stationary Navier–Stokes Flows in 3D with Nonzero Velocity at Infinity: Asymptotic Behavior of the Second Derivatives of the Velocity

DOI10.1081/PDE-200064436zbMath1121.35095MaRDI QIDQ5707998

Paul Deuring

Publication date: 25 November 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsasymptotic behaviourexterior domain

Mathematics Subject Classification ID

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

Related Items (5)

Finite element error estimates for 3D exterior incompressible flow with nonzero velocity at infinity ⋮ On the stationary Navier-Stokes problem in \(\mathbb {R}^3\): an approach in weighted Sobolev spaces ⋮ Decay rates of second order derivatives of axisymmetric \(D\)-solutions to the stationary Navier-Stokes equations ⋮ Exterior Stationary Navier–Stokes Flows in 3D with Nonzero Velocity at Infinity: Asymptotic Behavior of the Second Derivatives of the Velocity ⋮ Stability of a finite element method for 3D exterior stationary Navier-Stokes flows.

Cites Work

• A variational approach in weighted Sobolev spaces to the operator \(- \Delta +\partial /\partial x_ 1\) in exterior domains of \({\mathbb{R}}^ 3\)
• The stationary exterior 3D-problem of Oseen and Navier-Stokes equations in anisotropically weighted spaces
• Stability of a finite element method for 3D exterior stationary Navier-Stokes flows.
• On the asymptotic behavior of a steady flow of viscous fluid at some distance from an immersed body
• On the exterior stationary problem for the Navier-Stokes equations, and associated perturbation problems
• Exterior stationary Navier-Stokes flows in 3D with non-zero velocity at infinity: approximation by flows in bounded domains
• On the asymptotics of the solution to the three-dimensional problem of flow far from streamlined bodies
• ARTIFICIAL BOUNDARY CONDITIONS FOR THE OSEEN SYSTEM IN 3D EXTERIOR DOMAINS
• Exterior Stationary Navier–Stokes Flows in 3D with Nonzero Velocity at Infinity: Asymptotic Behavior of the Second Derivatives of the Velocity
• Estimates of Oseen kernels in weighted \(L^p\) spaces
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