The non-isentropic Einstein-Euler system written in a symmetric hyperbolic form
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2020
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| _version_ | 1866912192669941760 |
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| author | Brauer, Uwe Karp, Lavi |
| author_facet | Brauer, Uwe Karp, Lavi |
| contents | We cast the non--isentropic relativistic Euler system into a symmetric hyperbolic form. Such systems are very suited to treat initial value problems of hyperbolic type. We obtain this form by using the pressure $p$ and not the density $ρ$ as a variable. However, the system becomes degenerate when the pressure $p$ approaches zero, and in these cases we regularise the system by replacing the pressure with an appropriate new matter variable, the Makino variable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2007_13603 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The non-isentropic Einstein-Euler system written in a symmetric hyperbolic form Brauer, Uwe Karp, Lavi Mathematical Physics We cast the non--isentropic relativistic Euler system into a symmetric hyperbolic form. Such systems are very suited to treat initial value problems of hyperbolic type. We obtain this form by using the pressure $p$ and not the density $ρ$ as a variable. However, the system becomes degenerate when the pressure $p$ approaches zero, and in these cases we regularise the system by replacing the pressure with an appropriate new matter variable, the Makino variable. |
| title | The non-isentropic Einstein-Euler system written in a symmetric hyperbolic form |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2007.13603 |