Relativistic dissipative fluids in the trace-fixed particle frame: Strongly hyperbolic quasi-linear first-order evolution equations
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| Format: | Preprint |
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2024
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| _version_ | 1866910921295659008 |
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| author | Salazar, J. Félix García-Perciante, Ana Laura Sarbach, Olivier |
| author_facet | Salazar, J. Félix García-Perciante, Ana Laura Sarbach, Olivier |
| contents | In this paper we derive a new first-order theory of relativistic dissipative fluids by adopting the trace-fixed particle frame. Whereas in a companion letter we show that this theory is hyperbolic, causal and stable at global equilibrium states, here we prove that the full nonlinear system of equations can be cast into a first-order quasilinear system which is strongly hyperbolic. By rewriting the system in first-order form, auxiliary constraints are introduced. However, we show that these constraints propagate, and thus our theory leads to a well-posed Cauchy problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_03713 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Relativistic dissipative fluids in the trace-fixed particle frame: Strongly hyperbolic quasi-linear first-order evolution equations Salazar, J. Félix García-Perciante, Ana Laura Sarbach, Olivier General Relativity and Quantum Cosmology High Energy Physics - Theory Analysis of PDEs In this paper we derive a new first-order theory of relativistic dissipative fluids by adopting the trace-fixed particle frame. Whereas in a companion letter we show that this theory is hyperbolic, causal and stable at global equilibrium states, here we prove that the full nonlinear system of equations can be cast into a first-order quasilinear system which is strongly hyperbolic. By rewriting the system in first-order form, auxiliary constraints are introduced. However, we show that these constraints propagate, and thus our theory leads to a well-posed Cauchy problem. |
| title | Relativistic dissipative fluids in the trace-fixed particle frame: Strongly hyperbolic quasi-linear first-order evolution equations |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Analysis of PDEs |
| url | https://arxiv.org/abs/2412.03713 |