{"title":"具有或不具有扩散的耗散相对论流体动力学的因果公式","authors":"H. Freistuhler","doi":"10.1090/qam/1656","DOIUrl":null,"url":null,"abstract":"The article proposes a causal five-field formulation of dissipative relativistic fluid dynamics as a quasilinear symmetric hyperbolic system of second order. The system is determined by four dissipation coefficients \n\n \n \n η\n ,\n ζ\n ,\n κ\n ,\n μ\n \n \\eta ,\\zeta ,\\kappa ,\\mu\n \n\n, free functions of the fields, which quantify shear viscosity, bulk viscosity, heat conductivity, and diffusion.","PeriodicalId":20964,"journal":{"name":"Quarterly of Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2023-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A causal formulation of dissipative relativistic fluid dynamics with or without diffusion\",\"authors\":\"H. Freistuhler\",\"doi\":\"10.1090/qam/1656\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The article proposes a causal five-field formulation of dissipative relativistic fluid dynamics as a quasilinear symmetric hyperbolic system of second order. The system is determined by four dissipation coefficients \\n\\n \\n \\n η\\n ,\\n ζ\\n ,\\n κ\\n ,\\n μ\\n \\n \\\\eta ,\\\\zeta ,\\\\kappa ,\\\\mu\\n \\n\\n, free functions of the fields, which quantify shear viscosity, bulk viscosity, heat conductivity, and diffusion.\",\"PeriodicalId\":20964,\"journal\":{\"name\":\"Quarterly of Applied Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2023-01-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quarterly of Applied Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1090/qam/1656\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quarterly of Applied Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1090/qam/1656","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
A causal formulation of dissipative relativistic fluid dynamics with or without diffusion
The article proposes a causal five-field formulation of dissipative relativistic fluid dynamics as a quasilinear symmetric hyperbolic system of second order. The system is determined by four dissipation coefficients
η
,
ζ
,
κ
,
μ
\eta ,\zeta ,\kappa ,\mu
, free functions of the fields, which quantify shear viscosity, bulk viscosity, heat conductivity, and diffusion.
期刊介绍:
The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume.
This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.