Spectral analysis of a Stokes-type operator arising from flow around a rotating body

DOI10.2969/jmsj/06310163zbMath1223.35257OpenAlexW2079976484MaRDI QIDQ632983

Jiří Neustupa, Reinhard Farwig, Šarka Matušú-Nečasová

Publication date: 28 March 2011

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: http://www.jstage.jst.go.jp/article/jmath/63/1/63_163/_article

zbMATH Keywords

spectrumStokes operatoressential spectrum, point spectrumL\(^q\)-theoryStokes operator with rotation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Spectral theory and eigenvalue problems for partial differential equations (35P99) Stokes and related (Oseen, etc.) flows (76D07) Spectrum, resolvent (47A10)

Related Items (7)

Stability of Steady Flow Past a Rotating Body ⋮ A spectral criterion for stability of a steady viscous incompressible flow past an obstacle ⋮ On the Stokes-type resolvent problem associated with time-periodic flow around a rotating obstacle ⋮ Nonlinear spectral instability of steady-state flow of a viscous liquid past a rotating obstacle ⋮ The fundamental solution of linearized nonstationary Navier-Stokes equations of motion around a rotating and translating body ⋮ Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity ⋮ Stability of a steady flow of an incompressible Newtonian fluid in an exterior domain

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