Smooth solution of the compressible Navier-Stokes equations in an unbounded domain with inflow boundary condition

DOI10.1006/jmaa.1997.5872zbMath0910.35093OpenAlexW2020397521MaRDI QIDQ1270861

Jae Ryong Kweon, R. Bruce Kellogg

Publication date: 14 March 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5872

zbMATH Keywords

steady state flowunbounded two-dimensional domain

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (13)

The compressible Stokes flows with no-slip boundary condition on non-convex polygons ⋮ Strong solutions to the Navier-Stokes-Fourier system with slip-inflow boundary conditions ⋮ A Liouville type theorem for the stationary compressible Navier-Stokes equations ⋮ An explicit finite element method for convection-dominated compressible viscous Stokes system with inflow boundary ⋮ Existence and stability of steady compressible Navier-Stokes solutions on a finite interval with noncharacteristic boundary conditions ⋮ Mixing and reacting flow with inflow-outflow boundary conditions ⋮ Compressible perturbation of Poiseuille type flow ⋮ On two-dimensional unsteady incompressible fluid flow in an infinite strip ⋮ On an inhomogeneous slip-inflow boundary value problem for a steady flow of a viscous compressible fluid in a cylindrical domain ⋮ Compressible Stokes problem on nonconvex polygonal domains ⋮ Mixed Laguerre-Legendre pseudospectral method for incompressible fluid flow in an infinite strip ⋮ Stationary compressible Navier-Stokes equations with inflow condition in domains with piecewise analytical boundaries ⋮ Steady compressible Navier-Stokes flow in a square

Cites Work

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• An \(L^ p\)-theory for the \(n\)-dimensional, stationary, compressible Navier-Stokes equations, and the incompressible limit for compressible fluids. The equilibrium solutions
• On the existence of stationary solutions to compressible Navier-Stokes equations
• Compressible Navier--Stokes Equations in a Bounded Domain with Inflow Boundary Condition
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Discontinuous Solutions of the Linearized, Steady State, Compressible, Viscous, Navier–Stokes Equations
• A Finite Element Method for the Compressible Stokes Equations
• Equivalent Norms for Sobolev Spaces

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