{"title":"日地对流区总磁能MHD方程的最简解","authors":"S. V. Starchenko, M. S. Kotelnikova","doi":"10.1134/S1062873825711869","DOIUrl":null,"url":null,"abstract":"<p>Based on estimates of the characteristic values of the terms in the hydromagnetic dynamo equations, it was shown that a significant factor is the stabilizing nonlinearity inversely proportional to the electric current. Using the average value obtained for it, the simplest hydromagnetic model for magnetic energy was constructed, consisting of one nonhomogeneous linear ordinary differential equation.</p>","PeriodicalId":504,"journal":{"name":"Bulletin of the Russian Academy of Sciences: Physics","volume":"89 7","pages":"1161 - 1164"},"PeriodicalIF":0.4800,"publicationDate":"2025-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Simplest Solutions of the MHD Equations for the Total Magnetic Energy in the Convective Zone of Sun and Earth\",\"authors\":\"S. V. Starchenko, M. S. Kotelnikova\",\"doi\":\"10.1134/S1062873825711869\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Based on estimates of the characteristic values of the terms in the hydromagnetic dynamo equations, it was shown that a significant factor is the stabilizing nonlinearity inversely proportional to the electric current. Using the average value obtained for it, the simplest hydromagnetic model for magnetic energy was constructed, consisting of one nonhomogeneous linear ordinary differential equation.</p>\",\"PeriodicalId\":504,\"journal\":{\"name\":\"Bulletin of the Russian Academy of Sciences: Physics\",\"volume\":\"89 7\",\"pages\":\"1161 - 1164\"},\"PeriodicalIF\":0.4800,\"publicationDate\":\"2025-07-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Russian Academy of Sciences: Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1062873825711869\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Russian Academy of Sciences: Physics","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1062873825711869","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Physics and Astronomy","Score":null,"Total":0}
On the Simplest Solutions of the MHD Equations for the Total Magnetic Energy in the Convective Zone of Sun and Earth
Based on estimates of the characteristic values of the terms in the hydromagnetic dynamo equations, it was shown that a significant factor is the stabilizing nonlinearity inversely proportional to the electric current. Using the average value obtained for it, the simplest hydromagnetic model for magnetic energy was constructed, consisting of one nonhomogeneous linear ordinary differential equation.
期刊介绍:
Bulletin of the Russian Academy of Sciences: Physics is an international peer reviewed journal published with the participation of the Russian Academy of Sciences. It presents full-text articles (regular, letters to the editor, reviews) with the most recent results in miscellaneous fields of physics and astronomy: nuclear physics, cosmic rays, condensed matter physics, plasma physics, optics and photonics, nanotechnologies, solar and astrophysics, physical applications in material sciences, life sciences, etc. Bulletin of the Russian Academy of Sciences: Physics focuses on the most relevant multidisciplinary topics in natural sciences, both fundamental and applied. Manuscripts can be submitted in Russian and English languages and are subject to peer review. Accepted articles are usually combined in thematic issues on certain topics according to the journal editorial policy. Authors featured in the journal represent renowned scientific laboratories and institutes from different countries, including large international collaborations. There are globally recognized researchers among the authors: Nobel laureates and recipients of other awards, and members of national academies of sciences and international scientific societies.