On the spectrum of an Oseen-type operator arising from flow past a rotating body

DOI10.1007/s00020-008-1616-3zbMath1180.35382OpenAlexW2016970834MaRDI QIDQ733619

Reinhard Farwig, Jiří Neustupa

Publication date: 19 October 2009

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-008-1616-3

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)

Related Items (12)

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 ⋮ Viscous flow around a rigid body performing a time-periodic motion ⋮ Stability of a steady flow of an incompressible Newtonian fluid in an exterior domain ⋮ Oseen resolvent estimates with small resolvent parameter ⋮ The analysis of stationary viscous incompressible flow through a rotating radial blade machine, existence of a weak solution ⋮ Spectral properties in \(L^q\) of an Oseen operator modelling fluid flow past a rotating body ⋮ Spatial asymptotics of mild solutions to the time-dependent Oseen system ⋮ Stability of stationary viscous incompressible flow around a rigid body performing a translation ⋮ On the \(C_0\) semigroup generated by the Oseen operator around a steady flow exterior to a rotating obstacle

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