Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows
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| Creator |
Borshch, M.S.
Zhdanov, V.I. |
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| Description |
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(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.
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| Date |
2019-02-13T18:54:44Z
2019-02-13T18:54:44Z 2007 |
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| Type |
Article
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| Identifier |
Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows / M.S. Borshch, V.I. Zhdanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 24 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 76Y05; 83C15; 83A05 http://dspace.nbuv.gov.ua/handle/123456789/147190 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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