Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows

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dc.creatorBorshch, Maxim S.
dc.creatorZhdanov, Valery I.
dc.date2007-09-07
dc.date2007-12-08
dc.date.accessioned2026-07-07T12:19:52Z
dc.date.available2026-07-07T12:19:52Z
dc.descriptionWe 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) $p = p(ε)$. For linear EOS $p = κε$ we obtain self-similar solutions in the case of plane, cylindrical and spherical symmetries. In the case of extremely stiff EOS ($κ=1$) we obtain ''monopole + dipole'' and ''monopole + quadrupole'' axially symmetric solutions. We also found some nonlinear EOSs that admit analytic solutions.
dc.descriptionThis is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/0709.1053
dc.identifierhttp://arxiv.org/abs/0709.1053
dc.identifierSIGMA 3:116,2007
dc.identifierdoi:10.3842/SIGMA.2007.116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212909
dc.subjectMathematical Physics
dc.subjectAstrophysics
dc.subjectNuclear Theory
dc.subject76Y05; 83C15; 83A05
dc.titleExact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows
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