Asymptotic profiles of steady Stokes and Navier-Stokes flows around a rotating obstacle

DOI10.1007/s11565-009-0072-6zbMath1205.35191OpenAlexW2016636361MaRDI QIDQ626986

Toshiaki Hishida, Reinhard Farwig

Publication date: 19 February 2011

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-009-0072-6

zbMATH Keywords

asymptotic profilerotating obstaclesteady Navier-Stokes flowsteady Stokes flow

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30)

Related Items (11)

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 ⋮ On the Relation Between the Large Time Behavior of the Stokes Semigroup and the Decay of Steady Stokes Flow at Infinity ⋮ The fundamental solution of linearized nonstationary Navier-Stokes equations of motion around a rotating and translating body ⋮ Asymptotic profiles of steady Stokes and Navier-Stokes flows around 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: asymptotic profile of the velocity gradient and decay estimate of the second derivatives of the velocity ⋮ 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 ⋮ \(L^q\)-solution of the Robin problem for the Stokes system with Coriolis force ⋮ Spectral properties in \(L^q\) of an Oseen operator modelling fluid flow past a rotating body

Cites Work

• On the large-distance asymptotics of steady state solutions of the Navier-Stokes equations in 3D exterior domains
• Strong solutions to the Navier-Stokes equations around a rotating obstacle
• Asymptotic profiles of steady Stokes and Navier-Stokes flows around a rotating obstacle
• \(L_{p}-L_{q}\) estimate of the Stokes operator and Navier-Stokes flows in the exterior of a rotating obstacle
• Smooth or singular solutions to the Navier-Stokes system?
• Steady flow of a Navier-Stokes fluid around a rotating obstacle
• An existence theorem for the Navier-Stokes flow in the exterior of a rotating obstacle
• On Landau's solutions of the Navier-Stokes equations
• Anisotropic \(L^2\)-estimates of weak solutions to the stationary Oseen-type equations in 3D-exterior domain for a rotating body
• \(L^q\) estimates of weak solutions to the stationary Stokes equations around a rotating body
• Leading term at infinity of steady Navier-Stokes flow around a rotating obstacle
• Stationary Navier-Stokes Flow Around a Rotating Obstacle
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