A steady flow through a plane cascade of profiles with an arbitrarily large inflow -- the mathematical model, existence of a weak solution

DOI10.1016/j.amc.2015.05.066zbMath1410.35098OpenAlexW2190268575MaRDI QIDQ668422

Tomáš Neustupa

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.05.066

zbMATH Keywords

Navier-Stokes equationsexistence of a weak solutioncascade of profileslarge inflownatural outlet boundary condition

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30)

Related Items (9)

On existence and uniqueness of solutions to a Boussinesq system with nonlinear and mixed boundary conditions ⋮ The weak Stokes problem associated with a flow through a profile cascade in Lr$L^r$‐framework ⋮ Existence of steady flows of a viscous incompressible fluid through a profile cascade and their L^r‐regularity ⋮ Existence of a steady flow through a rotating radial turbine with an arbitrarily large inflow and an artificial boundary condition on the outflow ⋮ On buoyancy‐driven viscous incompressible flows with various types of boundary conditions ⋮ The Boussinesq system with mixed non-smooth boundary conditions and do-nothing boundary flow ⋮ The maximum regularity property of the steady Stokes problem associated with a flow through a profile cascade ⋮ On multiple solutions to the steady flow of incompressible fluids subject to do-nothing or constant traction boundary conditions on artificial boundaries ⋮ Local in time existence of solution of the Navier-Stokes equations with various types of boundary conditions

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