{"title":"A triad of magnetohydrodynamic motions: conservation law representation and superposition principle applications","authors":"Colin Rogers","doi":"10.1007/s11012-024-01901-3","DOIUrl":null,"url":null,"abstract":"<div><p>Here, novel geometric conservation law representations are established in two-dimensional magnetohydrodynamics whereby a triad of admitted conducting motions is derived. Application is then made of a magnetohydrodynamic superposition principle to generate extended multi-parameter classes of associated conducting motions. In addition, under a correspondence between the magnetogasdynamic system and nonlinear elastostatics an associated invariance is established for a linked canonical neo-Hookean plane strain system.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 2","pages":"295 - 309"},"PeriodicalIF":2.1000,"publicationDate":"2025-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Meccanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s11012-024-01901-3","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
Here, novel geometric conservation law representations are established in two-dimensional magnetohydrodynamics whereby a triad of admitted conducting motions is derived. Application is then made of a magnetohydrodynamic superposition principle to generate extended multi-parameter classes of associated conducting motions. In addition, under a correspondence between the magnetogasdynamic system and nonlinear elastostatics an associated invariance is established for a linked canonical neo-Hookean plane strain system.
期刊介绍：
Meccanica focuses on the methodological framework shared by mechanical scientists when addressing theoretical or applied problems. Original papers address various aspects of mechanical and mathematical modeling, of solution, as well as of analysis of system behavior. The journal explores fundamental and applications issues in established areas of mechanics research as well as in emerging fields; contemporary research on general mechanics, solid and structural mechanics, fluid mechanics, and mechanics of machines; interdisciplinary fields between mechanics and other mathematical and engineering sciences; interaction of mechanics with dynamical systems, advanced materials, control and computation; electromechanics; biomechanics.
Articles include full length papers; topical overviews; brief notes; discussions and comments on published papers; book reviews; and an international calendar of conferences.
Meccanica, the official journal of the Italian Association of Theoretical and Applied Mechanics, was established in 1966.
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