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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 116, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.116 (Mi sigma242) 		 
This article is cited in 24 scientific papers (total in 24 papers)

Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows

Maxim S. Borshch, Valery I. Zhdanov

National Taras Shevchenko University of Kyiv, Ukraine
Full-text PDF (249 kB) Citations (24)
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DOI: https://doi.org/10.3842/SIGMA.2007.116
Abstract: We use a connection between relativistic hydrodynamics and scalar field theory to generate exact analytic solutions describing non-stationary inhomogeneous flows of the perfect fluid with one-parametric equation of state (EOS) $p=p(\varepsilon)$. For linear EOS $p=\kappa\varepsilon$ we obtain self-similar solutions in the case of plane, cylindrical and spherical symmetries. In the case of extremely stiff EOS ($\kappa=1$) we obtain "monopole $+$ dipole" and "monopole $+$ quadrupole" axially symmetric solutions. We also found some nonlinear EOSs that admit analytic solutions.
Keywords: relativistic hydrodynamics; exact solutions.
Received: September 10, 2007; in final form November 28, 2007; Published online December 7, 2007
Bibliographic databases:
Document Type: Article
MSC: 76Y05; 83C15; 83A05
Language: English
Citation: Maxim S. Borshch, Valery I. Zhdanov, “Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows”, SIGMA, 3 (2007), 116, 11 pp.
Citation in format AMSBIB
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\by Maxim S.~Borshch, Valery I.~Zhdanov
\paper Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows
\jour SIGMA
\yr 2007
\vol 3
\papernumber 116
\totalpages 11
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    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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