Anisotropic L2-estimates of weak solutions to the stationary Oseen-type equations in 3D-exterior domain for a rotating body

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概要

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• We study the Oseen problem with rotational effect in exterior three-dimensional domains. Using a variational approach we prove existence and uniqueness theorems in anisotropically weighted Sobolev spaces in the whole three-dimensional space. As the main tool we derive and apply an inequality of the Friedrichs-Poincaré type and the theory of Calderon-Zygmund kernels in weighted spaces. For the extension of results to the case of exterior domains we use a localization procedure.

著者

• Kracmar Stanislav

  Department of Technical Mathematics, Czech Technical University

• Necasova Sarka

  Mathematical Institute of the Academy of Sciences of the Czech Republic

• Penel Patrick

  Université du Sud Toulon–Var, Département de Mathématique et Laboratoire Systèmes Navals Complexes

関連論文

• Anisotropic L2-estimates of weak solutions to the stationary Oseen-type equations in 3D-exterior domain for a rotating body
• Spectral analysis of a Stokes-type operator arising from flow around a rotating body
• Anisotropic L^2-estimates of weak solutions to the stationary Oseen-type equations in 3D-exterior domain for a rotating body
• 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)

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