Asymptotic Behavior of a Leray Solution around a Rotating Obstacle

DOI10.1007/978-3-0348-0075-4_13zbMath1247.35168OpenAlexW21631148MaRDI QIDQ2909932

Mads Kyed, Giovanni Paolo Galdi

Publication date: 7 September 2012

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0075-4_13

zbMATH Keywords

Navier-Stokes equationsasymptotic behaviorrotating body

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Navier-Stokes equations (35Q30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (8)

Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity ⋮ Exponential decay of the vorticity in the steady-state flow of a viscous liquid past a rotating body ⋮ The fundamental solution of linearized nonstationary Navier-Stokes equations of motion around a rotating and translating body ⋮ The energy equality and regularity results for the stationary Navier-Stokes equations on the exterior of a rotating obstacle ⋮ Pointwise decay of stationary rotational viscous incompressible flows with nonzero velocity at infinity ⋮ Linearized stationary incompressible flow around rotating and translating bodies -- Leray solutions ⋮ A leading term for the velocity of stationary viscous incompressible flow around a rigid body performing a rotation and a translation ⋮ Spectral properties in \(L^q\) of an Oseen operator modelling fluid flow past a rotating body

Cites Work

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• Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
• \(L^q\)-theory of a singular winding integral operator arising from fluid dynamics.
• An existence theorem for the Navier-Stokes flow in the exterior of a rotating obstacle
• An \(L^q\)-analysis of viscous fluid flow past a rotating obstacle
• On the exterior stationary problem for the Navier-Stokes equations, and associated perturbation problems
• Stationary Navier-Stokes Flow Around a Rotating Obstacle

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