{"title":"关于具有温度相关输运系数的Navier-Stokes方程","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":"{\"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}","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}
On the Navier-Stokes equations with temperature-dependent transport coefficients
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.
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