{"title":"The local transport relations in a rarefied gas","authors":"V.S. Galkin, S.V. Rusakov","doi":"10.1016/j.jappmathmech.2017.08.008","DOIUrl":null,"url":null,"abstract":"<div><p><span>Three particular cases from the class of exact moment solutions of the Boltzmann–Maxwell kinetic equation for homoenergetic affine flows of a </span>monatomic gas<span> of Maxwellian molecules are considered. Conditions are formulated under which local expressions for the viscous stresses closing the gas-dynamic problem (here this is the energy equation) follow from exact relations.</span></p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 2","pages":"Pages 157-163"},"PeriodicalIF":0.0000,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.08.008","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pmm Journal of Applied Mathematics and Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021892817300746","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
Three particular cases from the class of exact moment solutions of the Boltzmann–Maxwell kinetic equation for homoenergetic affine flows of a monatomic gas of Maxwellian molecules are considered. Conditions are formulated under which local expressions for the viscous stresses closing the gas-dynamic problem (here this is the energy equation) follow from exact relations.
期刊介绍：
This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.
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