The analysis of stationary viscous incompressible flow through a rotating radial blade machine, existence of a weak solution

DOI10.1016/j.amc.2011.05.020zbMath1309.76054OpenAlexW2057747997MaRDI QIDQ2018950

Tomáš Neustupa

Publication date: 26 March 2015

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.05.020

zbMATH Keywords

weak solutionNavier-Stokes equationsnatural boundary conditionflow in rotating geometryKaplan's turbine

Mathematics Subject Classification ID

Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (6)

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 ⋮ Variable entangling in a quantum prisoner's dilemma cellular automaton ⋮ The maximum regularity property of the steady Stokes problem associated with a flow through a profile cascade ⋮ Local in time existence of solution of the Navier-Stokes equations with various types of boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite element approximation of the Navier-Stokes equations
• On the spectrum of an Oseen-type operator arising from flow past a rotating body
• Spectral properties in \(L^q\) of an Oseen operator modelling fluid flow past a rotating body
• Local solutions to the Navier-Stokes equations with mixed boundary conditions
• A weak solvability of a steady variational inequality of the Navier-Stokes type with mixed boundary conditions.
• An existence theorem for the Navier-Stokes flow in the exterior of a rotating obstacle
• On the spectrum of a Stokes-type operator arising from flow around a rotating body
• Structure of the set of stationary solutions of the navier‐stokes equations
• ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
• New efficient boundary conditions for incompressible Navier-Stokes equations : a well-posedness result

This page was built for publication: The analysis of stationary viscous incompressible flow through a rotating radial blade machine, existence of a weak solution