On the steady Navier-Stokes boundary value problem in an unbounded 2D domain with arbitrary fluxes through the components of the boundary

DOI10.1007/s11565-009-0083-3zbMath1205.35205OpenAlexW2045286197MaRDI QIDQ626992

Jiří Neustupa

Publication date: 19 February 2011

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-009-0083-3

zbMATH Keywords

Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)

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A steady weak solution of the equations of motion of a viscous incompressible fluid through porous media in a domain with a non-compact boundary ⋮ On the nonhomogeneous boundary value problem for the Navier-Stokes system in a class of unbounded domains ⋮ Nonhomogeneous boundary value problem for the time periodic linearized Navier-Stokes system in a domain with outlet to infinity ⋮ On the existence of a weak solution of viscous incompressible flow past a cascade of profiles with an arbitrarily large inflow ⋮ A steady flow through a plane cascade of profiles with an arbitrarily large inflow -- the mathematical model, existence of a weak solution ⋮ Time periodic boundary value Stokes problem in a domain with an outlet to infinity ⋮ ON NONHOMOGENEOUS BOUNDARY VALUE PROBLEM FOR THE STATIONARY NAVIER-STOKES EQUATIONS IN A SYMMETRIC CUSP DOMAIN ⋮ On nonhomogeneous boundary value problems for the stationary Navier–Stokes equations in two-dimensional symmetric semi-infinite outlets

Cites Work

• On spaces of solenoidal vector fields and boundary value problems for the Navier-Stokes equations in domains with noncompact boundaries
• Note on the flux problem for stationary incompressible Navier-Stokes equations in domains with a multiply connected boundary
• Strong solutions of the steady nonlinear Navier-Stokes system in domains with exits to infinity
• Further properties of steady-state solutions to the Navier-Stokes problem past a three-dimensional obstacle
• Flux problem for a certain class of two-dimensional domains
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