A variational formulation for a two phase model in superconductivity and a respective revised and corrected numerical example

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The paper develops a variational formulation for a two-phase model in superconductivity using calculus of variations and optimization theory, framed within an Euler–Bernoulli context. It focuses on theoretical formulation and includes a revised and corrected numerical example. The authors note that the work is a preprint and has not been peer reviewed, and the numerical example is part of that revised communication. The paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.

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Abstract

This short communication develops a variational formulation for modeling a two phase model in superconductivity. The results are based on standard tools of calculus of variations and optimization theory. Moreover, we emphasize the context here addressed is essentially an Euler-Bernoullian one.
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Abstract

This short communication develops a variational formulation for modeling a two phase model in superconductivity. The results are based on standard tools of calculus of variations and optimization theory. Moreover, we emphasize the context here addressed is essentially an Euler-Bernoullian one. Supplementary Material File (superconductivity-july-2025-3.pdf) - Download - 307.16 KB Information & Authors Information Version history Copyright This work is licensed under a Non Exclusive No Reuse License.

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Authors Metrics & Citations Metrics Article Usage 230views 103downloads Citations Download citation Fabio Botelho, Fabio Silva Botelho. A variational formulation for a two phase model in superconductivity and a respective revised and corrected numerical example. Authorea. 28 July 2025. DOI: https://doi.org/10.22541/au.175373083.34304568/v1 DOI: https://doi.org/10.22541/au.175373083.34304568/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu.

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