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...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2007 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2007
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147190 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| 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| _version_ | 1862554673533157376 |
|---|---|
| author | Borshch, M.S. Zhdanov, V.I. |
| author_facet | Borshch, M.S. Zhdanov, V.I. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-11-25T22:09:12Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147190 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T22:09:12Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Borshch, M.S. Zhdanov, V.I. 2019-02-13T18:54:44Z 2019-02-13T18:54:44Z 2007 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 https://nasplib.isofts.kiev.ua/handle/123456789/147190 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. This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). We are thankful to the referees of our paper for helpful remarks and suggestions. This work has been supported in part by “Cosmomicrophysica” program of National Academy of Sciences of Ukraine. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows Article published earlier |
| spellingShingle | Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows Borshch, M.S. Zhdanov, V.I. |
| title | 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_short | Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows |
| title_sort | exact solutions of the equations of relativistic hydrodynamics representing potential flows |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147190 |
| work_keys_str_mv | AT borshchms exactsolutionsoftheequationsofrelativistichydrodynamicsrepresentingpotentialflows AT zhdanovvi exactsolutionsoftheequationsofrelativistichydrodynamicsrepresentingpotentialflows |