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

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概要

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• 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.

著者

• Farwig Reinhard

  Fachbereich Mathematik, Technische Universitat Darmstadt

• Neustupa Jiri

  Mathematical Institute, Czech Academy of Sciences

• Farwig Reinhard

  Fachbereich Mathematik Technische Universitat Darmstadt

• Neustupa Jiri

  Mathematical Institute Czech Academy Of Sciences

• Farwig Reinhard

  Fachbereich Mathematik Technische Hochschule Darmstadt

関連論文

• Spectral properties in $L^q$ of an Oseen operator modelling fluid flow past a rotating body
• Spectral analysis of a Stokes-type operator arising from flow around a rotating body
• The Stokes Resolvent Problem in General Unbounded Domains(Kyoto Conference on the Navier-Stokes Equations and their Applications)
• Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data
• On the Essential Spectrum of a Stokes-Type Operator Arising from Flow around a Rotating Body in the $L^q$-Framework(Kyoto Conference on the Navier-Stokes Equations and their Applications)
• The Navier-Stokes equation with slip boundary conditions (流体と気体の数学解析--RIMS研究集会報告集)
• Weighted L^q-theory for the Stokes resolvent in exterior domains
• Spectral analysis of a Stokes-type operator arising from flow around a rotating body
• Navier-Stokes' Equation with the Generalized Impermeability Boundary Conditions and Initial Data in Domains of Powers of the Stokes Operator(Kyoto Conference on the Navier-Stokes Equations and their Applications)

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