Research on the Equation of the Magnetic Field Caused by Magnets
Authors: 
Jiaxuan Su, Qingfei ShuAuthors Info & Claims
Jiaxuan Su, Qingfei ShuAuthors Info & ClaimsPages 110 - 114
Abstract
In this paper, the variational form is used to analyze the existence and uniqueness of the corresponding partial differential equations. In addition, the equation of the magnetic field induced by the magnet is also investigated. By constructing the corresponding Hilbert space and variational formulation, we can deduce that the equation admits a unique solution under some assumptions.
References
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Albiac, F. and Kalton, N., [1]Topics in Banach Space Theory, Springer, 2006. https://doi.org/10.1007/0-387-28142-8
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Oleinik, O. and Radkevitch, E., Second Order Equations with Non-negative Characteristic Form, Plenum, 1973.
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Brattka V, Yoshikawa A. Towards computability of elliptic boundary value problems in variational formulation[J]. Journal of Complexity, 2006, 22(6): 858-880. https://doi.org/10.1016/j.jco.2006.04.007
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Kozono H, Yanagisawa T. Generalized Lax-Milgram theorem in Banach spaces and its application to the elliptic system of boundary value problems[J]. manuscripta mathematica, 2013, 141(3): 637-662. https://doi.org/10.1007/s00229-012-0586-6
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Kunze H, La Torre D, Levere K, Inverse problems via the “generalized collage theorem” for vector-valued Lax-Milgram-based variational problems[J]. Mathematical Problems in Engineering, 2015, 2015. https://doi.org/10.1155/2015/764643
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Published In
June 2022
137 pages
ISBN:9781450396233
DOI:10.1145/3545839
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Association for Computing Machinery
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Published: 10 September 2022
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ICoMS 2022
ICoMS 2022: 2022 5th International Conference on Mathematics and Statistics
June 17 - 19, 2022
Paris, France
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