Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows
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 c...
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| Дата: | 2007 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2007
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147190 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147190 |
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dspace |
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irk-123456789-1471902019-02-14T01:25:31Z Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows Borshch, M.S. Zhdanov, V.I. 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. 2007 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Borshch, M.S. Zhdanov, V.I. |
| spellingShingle |
Borshch, M.S. Zhdanov, V.I. Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Borshch, M.S. Zhdanov, V.I. |
| author_sort |
Borshch, M.S. |
| title |
Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows |
| title_short |
Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows |
| title_full |
Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows |
| title_fullStr |
Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows |
| title_full_unstemmed |
Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows |
| title_sort |
exact solutions of the equations of relativistic hydrodynamics representing potential flows |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147190 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT borshchms exactsolutionsoftheequationsofrelativistichydrodynamicsrepresentingpotentialflows AT zhdanovvi exactsolutionsoftheequationsofrelativistichydrodynamicsrepresentingpotentialflows |
| first_indexed |
2023-05-20T17:26:49Z |
| last_indexed |
2023-05-20T17:26:49Z |
| _version_ |
1796153317778259968 |