Steady solution and its stability for Navier-Stokes equations with general Navier slip boundary condition

DOI10.1007/s10958-009-9457-4zbMath1179.35217OpenAlexW2069631164MaRDI QIDQ1037182

Naoto Tanaka, Shigeharu Itoh, Atusi Tani

Publication date: 13 November 2009

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9457-4

zbMATH Keywords

stabilityasymptotic behavior

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items (4)

Large-time behavior of the strong solution to nonhomogeneous incompressible MHD system with general initial data ⋮ Steady-state solutions to the equations of motion of second-grade fluids with general Navier type slip boundary conditions in Hölder spaces ⋮ Steady Navier-Stokes equations in a domain with piecewise smooth boundary ⋮ Semigroup theory for the Stokes operator with Navier boundary condition on \(L^p\) spaces

Cites Work

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• Unsteady motion of a finite mass of fluid, bounded by a free surface
• The initial value problem for the Navier-Stokes equations with general slip boundary condition in Hölder spaces
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Stationary Solutions of Compressible Navier–Stokes Equations with Slip Boundary Conditions
• The initial value problem for the non-homogeneous Navier—Stokes equations with general slip boundary condition
• On general boundary problems for systems which are elliptic in the sense of A. Douglis and L. Nirenberg. I

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