{"title":"On the Kinetic Approach with Allowance for Higher-Order Heterogeneities in the Navier–Stokes Equation","authors":"S. O. Gladkov, Zaw Aung","doi":"10.1134/s1063785024700500","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>A method for deriving the Navier–Stokes equation with allowance for inhomogeneities of any order on the Laplace operator using the Boltzmann kinetic equation is proposed. The solution method is based on the theory of nonequilibrium phenomena and the entropy growth principle. The calculation has been carried out to find additional inhomogeneous terms on the Laplace operator in the right-hand side of the Navier–Stokes equation. New-type fundamental solutions to the stationary parabolic equation have been predicted, which are significant for application in solving some problems of mathematical physics.</p>","PeriodicalId":784,"journal":{"name":"Technical Physics Letters","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Technical Physics Letters","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1134/s1063785024700500","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
A method for deriving the Navier–Stokes equation with allowance for inhomogeneities of any order on the Laplace operator using the Boltzmann kinetic equation is proposed. The solution method is based on the theory of nonequilibrium phenomena and the entropy growth principle. The calculation has been carried out to find additional inhomogeneous terms on the Laplace operator in the right-hand side of the Navier–Stokes equation. New-type fundamental solutions to the stationary parabolic equation have been predicted, which are significant for application in solving some problems of mathematical physics.
期刊介绍：
Technical Physics Letters is a companion journal to Technical Physics and offers rapid publication of developments in theoretical and experimental physics with potential technological applications. Recent emphasis has included many papers on gas lasers and on lasing in semiconductors, as well as many reports on high Tc superconductivity. The excellent coverage of plasma physics seen in the parent journal, Technical Physics, is also present here with quick communication of developments in theoretical and experimental work in all fields with probable technical applications. Topics covered are basic and applied physics; plasma physics; solid state physics; physical electronics; accelerators; microwave electron devices; holography.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
