On the existence of a weak solution of viscous incompressible flow past a cascade of profiles with an arbitrarily large inflow

DOI10.1007/s00021-013-0135-4zbMath1293.35204OpenAlexW1973379839MaRDI QIDQ2441527

Miloslav Feistauer, Tomáš Neustupa

Publication date: 25 March 2014

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-013-0135-4

zbMATH Keywords

Navier-Stokes equationslarge inflowprofile flow

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30)

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Cites Work

• Finite element approximation of the Navier-Stokes equations
• On the steady Navier-Stokes boundary value problem in an unbounded 2D domain with arbitrary fluxes through the components of the boundary
• A new approach to the existence of weak solutions of the steady Navier-Stokes system with inhomogeneous boundary data in domains with noncompact boundaries
• Local solutions to the Navier-Stokes equations with mixed boundary conditions
• On non-stationary viscous incompressible flow through a cascade of profiles
• 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
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