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Integral representation of a solution of the Neumann problem for the Stokes system - MaRDI portal

Integral representation of a solution of the Neumann problem for the Stokes system (Q5961877)

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scientific article; zbMATH DE number 5786241
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Integral representation of a solution of the Neumann problem for the Stokes system
scientific article; zbMATH DE number 5786241

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    Integral representation of a solution of the Neumann problem for the Stokes system (English)
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    16 September 2010
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    The author proposes necessary and sufficient conditions for the existence of a solution and constructs a solution, and with a boundary integral equation method reduces the Neumann problem for the Stokes system to a system of second kind Fredholm boundary integral equations and proves that a solution of the integral equation, can be approximated using the successive approximation method.
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    Stokes system
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    Neumann problem
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    single layer potential
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    double layer potential
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    integral equation method
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    successive approximation
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    boundary integral equation method
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    second kind Fredholm boundary integral equations
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    successive approximation method
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