Further properties of steady-state solutions to the Navier-Stokes problem past a three-dimensional obstacle

DOI10.1063/1.2425099zbMath1144.81345OpenAlexW1975957896MaRDI QIDQ3529768

Giovanni Paolo Galdi

Publication date: 14 October 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2425099

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Hydrodynamic stability (76E99)

Related Items (13)

Exponential decay of the vorticity in the steady-state flow of a viscous liquid past a rotating body ⋮ Weak solutions of the stationary Navier-Stokes equations for a viscous incompressible fluid past an obstacle ⋮ Steady-State Navier–Stokes Problem Past a Rotating Body: Geometric-Functional Properties and Related Questions ⋮ A steady weak solution of the equations of motion of a viscous incompressible fluid through porous media in a domain with a non-compact boundary ⋮ On the steady Navier-Stokes boundary value problem in an unbounded 2D domain with arbitrary fluxes through the components of the boundary ⋮ Structure of the set of stationary solutions to the equations of motion of a class of generalized Newtonian fluids ⋮ On the problem of steady bifurcation of a falling sphere in a Navier–Stokes liquid ⋮ Existence and structure of steady solutions of the Bénard problem in a two dimensional quadrangular cavity ⋮ Existence of transitions between stationary regimes of the Navier-Stokes equations in the entire space ⋮ A new approach to the existence of weak solutions of the steady Navier-Stokes system with inhomogeneous boundary data in domains with noncompact boundaries ⋮ \(L^3\)-solutions for the stationary Navier-Stokes equations in the exterior of a rotating obstacle ⋮ On the steady motion of Navier-Stokes flows past a fixed obstacle in a three-dimensional channel under mixed boundary conditions ⋮ Steady flow of a Navier-Stokes liquid past an elastic body

Cites Work

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• Numerical investigation of transitional and weak turbulent flow past a sphere
• ON STATIONARY SOLUTIONS OF THE PROBLEM OF FLOW PAST A BODY OF A VISCOUS INCOMPRESSIBLE FLUID
• An Infinite Dimensional Version of Sard's Theorem

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