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2010 Spectral properties in $L^q$ of an Oseen operator modelling fluid flow past a rotating body
Reinhard Farwig, Jiří Neustupa
Tohoku Math. J. (2) 62(2): 287-309 (2010). DOI: 10.2748/tmj/1277298650

Abstract

We study the spectrum of a linear Oseen-type operator which arises from equations of motion of a viscous incompressible fluid in the exterior of a rotating compact body. We prove that the essential spectrum consists of an infinite set of overlapping parabolic regions in the left half-plane of the complex plane. The full spectrum coincides with the essential and continuous spectrum if the operator is considered in the whole 3D space. Our approach is based on the Fourier transform in the whole space and the transfer of the results to the exterior domain.

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Reinhard Farwig. Jiří Neustupa. "Spectral properties in $L^q$ of an Oseen operator modelling fluid flow past a rotating body." Tohoku Math. J. (2) 62 (2) 287 - 309, 2010. https://doi.org/10.2748/tmj/1277298650

Information

Published: 2010
First available in Project Euclid: 23 June 2010

zbMATH: 1194.35324
MathSciNet: MR2663458
Digital Object Identifier: 10.2748/tmj/1277298650

Subjects:
Primary: 35Q35
Secondary: 35P99, 76D07

Rights: Copyright © 2010 Tohoku University

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Vol.62 • No. 2 • 2010
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