Skip to main content
Log in

On the Spectrum of an Oseen-Type Operator Arising from Flow past a Rotating Body

  • Published:
Integral Equations and Operator Theory Aims and scope Submit manuscript

Abstract.

We present the description of the spectrum of a linear perturbed Oseen-type operator which arises from equations of motion of a viscous incompressible fluid in the exterior of a rotating compact body. Considering the operator in the function space L 2 σ(Ω) we prove that the essential spectrum consists of an infinite set of overlapping parabolic regions in the left half-plane of the complex plane. Our approach is based on a reduction to invariant closed subspaces of L 2 σ(Ω) and on a Fourier series expansion with respect to an angular variable in a cylindrical coordinate system attached to the axis of rotation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jiří Neustupa.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Farwig, R., Neustupa, J. On the Spectrum of an Oseen-Type Operator Arising from Flow past a Rotating Body. Integr. equ. oper. theory 62, 169–189 (2008). https://doi.org/10.1007/s00020-008-1616-3

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00020-008-1616-3

Keywords.

Mathematics Subject Classification (2000).

Navigation