Stability analysis of the $(1+1)$-dimensional Nambu-Goto action gas models
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915213225230336 |
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| author | Grundland, Alfred M. de Lucas, Javier Zawora, Bartosz M. |
| author_facet | Grundland, Alfred M. de Lucas, Javier Zawora, Bartosz M. |
| contents | The aim of this paper is to perform a nonlinear stability analysis of the $(1+1)$-dimensional Nambu-Goto action gas models. The energy-Casimir method is employed to discuss in detail the Lyapunov stability of the Chaplygin and Born-Infeld models. Particular solutions are considered and their stability is studied in order to illustrate the application of our results. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_19842 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability analysis of the $(1+1)$-dimensional Nambu-Goto action gas models Grundland, Alfred M. de Lucas, Javier Zawora, Bartosz M. Mathematical Physics 76N15, 70G45, 53Z05, 70H33, 34K20, 34D20 The aim of this paper is to perform a nonlinear stability analysis of the $(1+1)$-dimensional Nambu-Goto action gas models. The energy-Casimir method is employed to discuss in detail the Lyapunov stability of the Chaplygin and Born-Infeld models. Particular solutions are considered and their stability is studied in order to illustrate the application of our results. |
| title | Stability analysis of the $(1+1)$-dimensional Nambu-Goto action gas models |
| topic | Mathematical Physics 76N15, 70G45, 53Z05, 70H33, 34K20, 34D20 |
| url | https://arxiv.org/abs/2503.19842 |