Spectral properties in \(L^q\) of an Oseen operator modelling fluid flow past a rotating body

DOI10.2748/tmj/1277298650zbMath1194.35324OpenAlexW2071660119MaRDI QIDQ991731

Jiří Neustupa, Reinhard Farwig

Publication date: 7 September 2010

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1277298650

zbMATH Keywords

eigenvaluesessential spectrumrotating obstaclemodified Oseen problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) General topics in linear spectral theory for PDEs (35P05) Stokes and related (Oseen, etc.) flows (76D07) Transform methods (e.g., integral transforms) applied to PDEs (35A22)

Related Items (14)

Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity ⋮ \(L^q\)-\(L^r\) estimate of the Oseen flow in plane exterior domains ⋮ Stability of Steady Flow Past a Rotating Body ⋮ A spectral criterion for stability of a steady viscous incompressible flow past an obstacle ⋮ Large time behavior of a generalized Oseen evolution operator, with applications to the Navier-Stokes flow past a rotating obstacle ⋮ Nonlinear spectral instability of steady-state flow of a viscous liquid past a rotating obstacle ⋮ On bifurcating time-periodic flow of a Navier-Stokes liquid past a cylinder ⋮ Steady-State Navier–Stokes Problem Past a Rotating Body: Geometric-Functional Properties and Related Questions ⋮ Viscous flow around a rigid body performing a time-periodic motion ⋮ On the Oseen-Type Resolvent Problem Associated with Time-Periodic Flow past a Rotating Body ⋮ Spectral analysis of a Stokes-type operator arising from flow around a rotating body ⋮ Stability of a steady flow of an incompressible Newtonian fluid in an exterior domain ⋮ The analysis of stationary viscous incompressible flow through a rotating radial blade machine, existence of a weak solution ⋮ Decay estimates of gradient of a generalized Oseen evolution operator arising from time-dependent rigid motions in exterior domains

Cites Work

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• Steady flow of a Navier-Stokes fluid around a rotating obstacle
• \(L^q\)-theory of a singular winding integral operator arising from fluid dynamics.
• Generalized resolvent estimates for the Stokes system in bounded and unbounded domains
• An existence theorem for the Navier-Stokes flow in the exterior of a rotating obstacle
• On the spectrum of a Stokes-type operator arising from flow around a rotating body
• An \(L^q\)-analysis of viscous fluid flow past a rotating obstacle
• \(L^q\) estimates of weak solutions to the stationary Stokes equations around a rotating body
• On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
• Asymptotic Behavior of a Leray Solution around a Rotating Obstacle
• L p -theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle
• THE STOKES OPERATOR WITH ROTATION EFFECT IN EXTERIOR DOMAINS
• A weighted L^q‐approach to Oseen flow around a rotating body
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