{"title":"具有对数状态方程的等熵欧拉系统的解析解","authors":"Guangpu Lou, Jianwei Dong","doi":"10.1142/s0217732323501559","DOIUrl":null,"url":null,"abstract":"In this paper, we study the analytical solutions to the isentropic Euler system with the logarithmic equation of state, which has been introduced for the dark energy fluid to investigate the dynamical evolution of a late-time universe. By using some ansatz, we construct some analytical solutions for one-dimensional case, [Formula: see text]-dimensional radially symmetric case and three-dimensional cylindrically symmetric case, respectively. The concentration and cavitation phenomena are investigated and some global analytical solutions are obtained under some conditions.","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2023-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analytical solutions to the isentropic Euler system with the logarithmic equation of state\",\"authors\":\"Guangpu Lou, Jianwei Dong\",\"doi\":\"10.1142/s0217732323501559\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the analytical solutions to the isentropic Euler system with the logarithmic equation of state, which has been introduced for the dark energy fluid to investigate the dynamical evolution of a late-time universe. By using some ansatz, we construct some analytical solutions for one-dimensional case, [Formula: see text]-dimensional radially symmetric case and three-dimensional cylindrically symmetric case, respectively. The concentration and cavitation phenomena are investigated and some global analytical solutions are obtained under some conditions.\",\"PeriodicalId\":18752,\"journal\":{\"name\":\"Modern Physics Letters A\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2023-11-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Modern Physics Letters A\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1142/s0217732323501559\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Modern Physics Letters A","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s0217732323501559","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
Analytical solutions to the isentropic Euler system with the logarithmic equation of state
In this paper, we study the analytical solutions to the isentropic Euler system with the logarithmic equation of state, which has been introduced for the dark energy fluid to investigate the dynamical evolution of a late-time universe. By using some ansatz, we construct some analytical solutions for one-dimensional case, [Formula: see text]-dimensional radially symmetric case and three-dimensional cylindrically symmetric case, respectively. The concentration and cavitation phenomena are investigated and some global analytical solutions are obtained under some conditions.
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This letters journal, launched in 1986, consists of research papers covering current research developments in Gravitation, Cosmology, Astrophysics, Nuclear Physics, Particles and Fields, Accelerator physics, and Quantum Information. A Brief Review section has also been initiated with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.
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