{"title":"Using the Geometric Properties of Three Invariants in the Wave Equation for the Intensity of an Electric Field","authors":"V. M. Ovsyannikov","doi":"10.1134/S1062873824709681","DOIUrl":null,"url":null,"abstract":"<p>An equation of continuity for a fluid is derived using Euler’s <i>Principia motus fluidorum</i> with high-order terms of smallness containing quadratic and cubic invariants of the strain rate tensor. The wave equation for the intensity of an electric field is derived using Maxwell’s system of electrodynamics equations with allowance for quadratic and cubic invariants, which describe the generation of waves of the electric field’s intensity.</p>","PeriodicalId":504,"journal":{"name":"Bulletin of the Russian Academy of Sciences: Physics","volume":"89 2","pages":"305 - 311"},"PeriodicalIF":0.4800,"publicationDate":"2025-04-24","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/S1062873824709681","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
An equation of continuity for a fluid is derived using Euler’s Principia motus fluidorum with high-order terms of smallness containing quadratic and cubic invariants of the strain rate tensor. The wave equation for the intensity of an electric field is derived using Maxwell’s system of electrodynamics equations with allowance for quadratic and cubic invariants, which describe the generation of waves of the electric field’s intensity.
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.