Weak solutions of the stationary Navier-Stokes equations for a viscous incompressible fluid past an obstacle

DOI10.1007/s00208-012-0861-6zbMath1288.35371OpenAlexW2052892011MaRDI QIDQ2377014

Horst Heck, Hideo Kozono, Hyun-Seok Kim

Publication date: 26 June 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-012-0861-6

zbMATH Keywords

weak solutionsviscous incompressible fluidstationary Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30)

Related Items (13)

Very weak solutions of the stationary Navier-Stokes equations for an incompressible fluid past obstacles ⋮ On the stationary Navier-Stokes problem in \(\mathbb {R}^3\): an approach in weighted Sobolev spaces ⋮ Linearized Navier-Stokes equations with boundary conditions involving the pressure in an exterior domain of \(\mathbb{R}^3\) ⋮ The energy equality and regularity results for the stationary Navier-Stokes equations on the exterior of a rotating obstacle ⋮ Well-posedness of mild solutions for the fractional Navier-Stokes equations in Besov spaces ⋮ \(L^r\)-results of the stationary Navier-Stokes flows around a rotating obstacle ⋮ On the time-fractional Navier-Stokes equations ⋮ On the energy equality for the weak time-periodic solutions to the Navier-Stokes equations ⋮ On \(L^{3,\infty}\)-stability of the Navier-Stokes system in exterior domains ⋮ \(L^3\)-solutions for the stationary Navier-Stokes equations in the exterior of a rotating obstacle ⋮ Preface ⋮ \(L^q\)-estimates for the stationary Oseen equations on exterior domains ⋮ Weak solutions of the Robin problem for the Oseen system

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• On the exterior stationary problem for the Navier-Stokes equations, and associated perturbation problems
• Su un problema al contorno relativo al sistema di equazioni di Stokes
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• ON STATIONARY SOLUTIONS OF THE PROBLEM OF FLOW PAST A BODY OF A VISCOUS INCOMPRESSIBLE FLUID
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