A variational formulation for modeling a compressible and time-dependent protium hydrogen fluid flow

A variational formulation for modeling a compressible and time-dependent protium hydrogen fluid flow | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 9 April 2026 V1 Latest version Share on A variational formulation for modeling a compressible and time-dependent protium hydrogen fluid flow Authors : Fabio Botelho 0000-0002-3890-8263 [email protected] and Fabio Silva Botelho Authors Info & Affiliations https://doi.org/10.22541/au.177575373.37388116/v1 170 views 37 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This article develops a variational formulation for modeling a compressible protium hydrogen fluid motion. The results are based on standard tools of calculus of variations and optimization theory. The context here addressed is essentially an Euler-Bernoullian one and includes also a new approximate Bernoulli-perfect-gas equation. Finally, it is worth highlighting, with the inclusion of such a new Bernoulli-perfect-gas equation, we have established a system of partial differential equations suitable for modeling a compressible case in fluid mechanics. Supplementary Material File (fluid-mechanics-hydrogen-april-2026.pdf) Download 1.33 MB Information & Authors Information Version history V1 Version 1 09 April 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords 76n15 bernoulli-perfect-gas type equation euler system lagrange multipliers. msc: 76a02 protium hydrogen fluid strong variational formulations Authors Affiliations Fabio Botelho 0000-0002-3890-8263 [email protected] View all articles by this author Fabio Silva Botelho Department of Mathematics, Federal University of Santa Catarina, UFSC Florianópolis View all articles by this author Metrics & Citations Metrics Article Usage 170 views 37 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Fabio Botelho, Fabio Silva Botelho. A variational formulation for modeling a compressible and time-dependent protium hydrogen fluid flow. Authorea . 09 April 2026. DOI: https://doi.org/10.22541/au.177575373.37388116/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. 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