Linear Degeneracy in a Class of Nonlinear Second-Order Hyperbolic Systems
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916269744193536 |
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| author | Freistuhler, Heinrich |
| author_facet | Freistuhler, Heinrich |
| contents | For a class of nonlinear hyperbolic systems of second order the paper shows that all Lax modes associated with their first-order formulations are linearly degenerate. This property holds for recently considered models of dissipative relativistic fluid dynamics, supporting the possibility that solutions to these models generally avoid singularity formation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00719 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Linear Degeneracy in a Class of Nonlinear Second-Order Hyperbolic Systems Freistuhler, Heinrich Analysis of PDEs Mathematical Physics For a class of nonlinear hyperbolic systems of second order the paper shows that all Lax modes associated with their first-order formulations are linearly degenerate. This property holds for recently considered models of dissipative relativistic fluid dynamics, supporting the possibility that solutions to these models generally avoid singularity formation. |
| title | Linear Degeneracy in a Class of Nonlinear Second-Order Hyperbolic Systems |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2406.00719 |