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Existence of axially symmetric weak solutions to steady MHD with nonhomogeneous boundary conditions - MaRDI portal

Existence of axially symmetric weak solutions to steady MHD with nonhomogeneous boundary conditions (Q346006)

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scientific article; zbMATH DE number 6659453
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Existence of axially symmetric weak solutions to steady MHD with nonhomogeneous boundary conditions
scientific article; zbMATH DE number 6659453

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    Existence of axially symmetric weak solutions to steady MHD with nonhomogeneous boundary conditions (English)
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    5 December 2016
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    The author studies the steady incompressible magneto-hydrodynamics equations with non-homogeneous boundary conditions in a \(n\)-dimensional axially symmetric domain. By adapting the idea given by \textit{M. V. Korobkov} et al. [Ann. Math. (2) 181, No. 2, 769--807 (2015; Zbl 1318.35065)], the author proves the existence of axially symmetric weak solutions to steady incompressible magneto-hydrodynamics equations with nonhomogeneous boundary conditions.
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    weak solutions
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    steady magnetohydrodynamics equations
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    axially symmetric
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    Bernoulli's law
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    nonhomogeneous boundary conditions
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