Anisotropic L^2-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.
- 社団法人 日本数学会の論文
- 2010-01-01
著者
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Kracmar Stanislav
Department of Technical Mathematics, Czech Technical University
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Necasova Sarka
Mathematical Institute of the Academy of Sciences of the Czech Republic
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Penel Patrick
Université du Sud Toulon–Var, Département de Mathématique et Laboratoire Systèmes Navals Complexes
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Penel Patrick
Universite Du Sud Toulon-var Departement De Mathematique
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Kracmar Stanislav
Department Of Technical Mathematics Czech Technical University
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Penel Patrick
Universite Du Sud Toulon-var Department De Mathematique Et Laboratoire Systemes Navals Complexes
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Necasova Sarka
Mathematical Institute Czech Academy Of Sciences
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)
- 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)
- 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)