Analytical solutions to the isentropic Euler system with the logarithmic equation of state
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Published:2023-11-20
Issue:34n35
Volume:38
Page:
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ISSN:0217-7323
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Container-title:Modern Physics Letters A
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language:en
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Short-container-title:Mod. Phys. Lett. A
Author:
Lou Guangpu1ORCID,
Dong Jianwei1ORCID
Affiliation:
1. School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450015, P. R. China
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.
Funder
the Project of Youth Backbone Teachers of Colleges and Universities in Henan Province
the Vital Science Research Foundation of Henan Province Education Department
the Scientific Research Team Plan of Zhengzhou University of Aeronautics
the Basic Research Projects of Key Scientific Research
the Henan Natural Science Foundation
Publisher
World Scientific Pub Co Pte Ltd
Subject
General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics