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arXiv · 2007.12613

Solvability of an inhomogeneous boundary value problem for steady MHD equations

Zhibing Zhang·Chunyi Zhao
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Abstract

In this paper, we consider the steady MHD equations with inhomogeneous boundary conditions for the velocity and the tangential component of the magnetic field. Using a new construction of the magnetic lifting, we obtain existence of weak solutions under sharp assumption on boundary data for the magnetic field.

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Zhibing Zhang, Chunyi Zhao. 2020-07-24. Solvability of an inhomogeneous boundary value problem for steady MHD equations. https://doi.org/10.1002/mma.6789

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