Strongly hyperbolic quasilinear systems revisited, with applications to relativistic fluid dynamics
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866915188689600512 |
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| author | Disconzi, Marcelo M. Shao, Yuanzhen |
| author_facet | Disconzi, Marcelo M. Shao, Yuanzhen |
| contents | We revisit the theory of first-order quasilinear systems with diagonalizable principal part and only real eigenvalues, what is commonly referred to as strongly hyperbolic systems. We provide a self-contained and simple proof of local well-posedness, in the Hadamard sense, of the Cauchy problem. Our regularity assumptions are very minimal. As an application, we apply our results to systems of ideal and viscous relativistic fluids, where the theory of strongly hyperbolic equations has been systematically used to study several systems of physical interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_09851 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Strongly hyperbolic quasilinear systems revisited, with applications to relativistic fluid dynamics Disconzi, Marcelo M. Shao, Yuanzhen Analysis of PDEs General Relativity and Quantum Cosmology Mathematical Physics Nuclear Theory We revisit the theory of first-order quasilinear systems with diagonalizable principal part and only real eigenvalues, what is commonly referred to as strongly hyperbolic systems. We provide a self-contained and simple proof of local well-posedness, in the Hadamard sense, of the Cauchy problem. Our regularity assumptions are very minimal. As an application, we apply our results to systems of ideal and viscous relativistic fluids, where the theory of strongly hyperbolic equations has been systematically used to study several systems of physical interest. |
| title | Strongly hyperbolic quasilinear systems revisited, with applications to relativistic fluid dynamics |
| topic | Analysis of PDEs General Relativity and Quantum Cosmology Mathematical Physics Nuclear Theory |
| url | https://arxiv.org/abs/2308.09851 |