English

Solvability of an inhomogeneous boundary value problem for steady MHD equations

Analysis of PDEs 2020-12-30 v1

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.

Keywords

Cite

@article{arxiv.2007.12613,
  title  = {Solvability of an inhomogeneous boundary value problem for steady MHD equations},
  author = {Zhibing Zhang and Chunyi Zhao},
  journal= {arXiv preprint arXiv:2007.12613},
  year   = {2020}
}

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8 pages