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arXiv · 2410.05119

Solvability of MHS equations with Grad-Rubin boundary conditions in general domains

Daniel Sánchez-Simón del Pino·Juan J. L. Velázquez
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Abstract

In this paper we study the solvability of the magnetohydrostatic equations with Grad-Rubin boundary conditions in general domains. Earlier results for this problem were obtained in the recent years by D. Alonso-Orán and J. L. L. Velázquez, where particularly simple geometries were considered. In this article we develop a theory that allows to solve these boundary value problems for a larger class of domains. We will give precise applications to more physically relevant situations, like the case of the space between two circumferences or spheres and domains close to them.

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Daniel Sánchez-Simón del Pino, Juan J. L. Velázquez. 2024-10-07. Solvability of MHS equations with Grad-Rubin boundary conditions in general domains. https://arxiv.org/abs/2410.05119

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