The three dimensional magneto-hydrostatic equations with Grad-Rubin boundary value
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916115686359040 |
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| author | Alonso-Orán, Diego del Pino, Daniel Sánchez-Simón Velázquez, Juan J. L. |
| author_facet | Alonso-Orán, Diego del Pino, Daniel Sánchez-Simón Velázquez, Juan J. L. |
| contents | In this work, we study the well-posedness of the three dimensional magneto-hydrostatic equation under Grad-Rubin boundary value conditions. The proof relies on a fixed point argument to construct solutions to an elliptic-hyperbolic problem in a perturbative regime by means of pseudo-differential operators with symbols with limited regularity in Hölder spaces. As a byproduct, the employed technique in this work is more flexible and simplifies the arguments of the proof for the previous two-dimensional setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03078 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The three dimensional magneto-hydrostatic equations with Grad-Rubin boundary value Alonso-Orán, Diego del Pino, Daniel Sánchez-Simón Velázquez, Juan J. L. Analysis of PDEs Mathematical Physics In this work, we study the well-posedness of the three dimensional magneto-hydrostatic equation under Grad-Rubin boundary value conditions. The proof relies on a fixed point argument to construct solutions to an elliptic-hyperbolic problem in a perturbative regime by means of pseudo-differential operators with symbols with limited regularity in Hölder spaces. As a byproduct, the employed technique in this work is more flexible and simplifies the arguments of the proof for the previous two-dimensional setting. |
| title | The three dimensional magneto-hydrostatic equations with Grad-Rubin boundary value |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2402.03078 |