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\(L^2\) theory for the operator \(\Delta +(k\times x)\cdot\nabla\) in exterior domains - MaRDI portal

\(L^2\) theory for the operator \(\Delta +(k\times x)\cdot\nabla\) in exterior domains (Q699956)

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scientific article; zbMATH DE number 1808100
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English
\(L^2\) theory for the operator \(\Delta +(k\times x)\cdot\nabla\) in exterior domains
scientific article; zbMATH DE number 1808100

    Statements

    \(L^2\) theory for the operator \(\Delta +(k\times x)\cdot\nabla\) in exterior domains (English)
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    2 February 2003
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    An analysis of the operator in the title with Dirichlet boundary condition is given. The results can be used to construct a local solution of the Navier-Stokes equations in the exterior of a rotating obstacle.
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    Dirichlet boundary condition
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    exterior of a rotating obstacle
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    smoothing effects
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