Relativistic BGK model for reactive gas mixtures
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916929989509120 |
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| author | Cho, Seung-Yeon Hwang, Byung-Hoon Lee, Myeong-Su Yun, Seok-Bae |
| author_facet | Cho, Seung-Yeon Hwang, Byung-Hoon Lee, Myeong-Su Yun, Seok-Bae |
| contents | We propose a BGK-type kinetic model for relativistic reactive gas mixtures. This model serves as a computationally tractable yet physically consistent alternative to the corresponding Boltzmann equation. The relaxation operator is constructed to ensure that the model correctly satisfies the conservation laws and relaxes to the proper equilibrium: a Jüttner distribution characterized by a common temperature, velocity, and chemical potentials that obey the law of mass action. Furthermore, we prove that the model satisfies an H-theorem with the same entropy functional as the original Boltzmann equation. Finally, numerical simulations are presented, which confirm that the model preserves the conserved quantities and exhibits entropy decay towards the proper Jüttner equilibrium. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02037 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relativistic BGK model for reactive gas mixtures Cho, Seung-Yeon Hwang, Byung-Hoon Lee, Myeong-Su Yun, Seok-Bae Analysis of PDEs 35Q20, 82C40, 83A05, 80A32, 35Q75 We propose a BGK-type kinetic model for relativistic reactive gas mixtures. This model serves as a computationally tractable yet physically consistent alternative to the corresponding Boltzmann equation. The relaxation operator is constructed to ensure that the model correctly satisfies the conservation laws and relaxes to the proper equilibrium: a Jüttner distribution characterized by a common temperature, velocity, and chemical potentials that obey the law of mass action. Furthermore, we prove that the model satisfies an H-theorem with the same entropy functional as the original Boltzmann equation. Finally, numerical simulations are presented, which confirm that the model preserves the conserved quantities and exhibits entropy decay towards the proper Jüttner equilibrium. |
| title | Relativistic BGK model for reactive gas mixtures |
| topic | Analysis of PDEs 35Q20, 82C40, 83A05, 80A32, 35Q75 |
| url | https://arxiv.org/abs/2509.02037 |