On the steady motion of Navier-Stokes flows past a fixed obstacle in a three-dimensional channel under mixed boundary conditions

DOI10.1007/s10231-021-01066-wzbMath1475.35245arXiv2008.08105OpenAlexW3127569399MaRDI QIDQ2041489

Gianmarco Sperone

Publication date: 23 July 2021

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.08105

zbMATH Keywords

mixed boundary conditionsSobolev inequalitiesincompressible fluidsdrag and lift

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Boundary value problems for systems of nonlinear higher-order PDEs (35G60)

Related Items (4)

Homogenization of the steady-state Navier-Stokes equations with prescribed flux rate or pressure drop in a perforated pipe ⋮ Steady-state Navier-Stokes flow in an obstructed pipe under mixed boundary conditions and with a prescribed transversal flux rate ⋮ Existence of a steady flow through a rotating radial turbine with an arbitrarily large inflow and an artificial boundary condition on the outflow ⋮ A connection between symmetry breaking for Sobolev minimizers and stationary Navier-Stokes flows past a circular obstacle

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