{"title":"On the Navier-Stokes equations with temperature-dependent transport coefficients","authors":"E. Feireisl, J. Málek","doi":"10.1155/DENM/2006/90616","DOIUrl":null,"url":null,"abstract":"We establish long-time and large-data existence of a weak solution\nto the problem describing three-dimensional unsteady flows of an\nincompressible fluid, where the viscosity and heat-conductivity\ncoefficients vary with the temperature. The approach reposes on\nconsidering the equation for the total energy rather than the\nequation for the temperature. We consider the spatially periodic\nproblem.","PeriodicalId":30100,"journal":{"name":"Differential Equations and Nonlinear Mechanics","volume":"45 1","pages":"1-14"},"PeriodicalIF":0.0000,"publicationDate":"2006-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/DENM/2006/90616","citationCount":"79","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations and Nonlinear Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/DENM/2006/90616","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 79
Abstract
We establish long-time and large-data existence of a weak solution
to the problem describing three-dimensional unsteady flows of an
incompressible fluid, where the viscosity and heat-conductivity
coefficients vary with the temperature. The approach reposes on
considering the equation for the total energy rather than the
equation for the temperature. We consider the spatially periodic
problem.
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
