Reconstructing Relativistic Magnetohydrodynamics with Physics-Informed Neural Networks
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917173489827840 |
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| author | Cheung, Corwin Johnson-Noya, Marcos Xiang, Michael Chang, Dominic Guevara, Alfredo |
| author_facet | Cheung, Corwin Johnson-Noya, Marcos Xiang, Michael Chang, Dominic Guevara, Alfredo |
| contents | We construct the first physics-informed neural-network (PINN) surrogates for relativistic magnetohydrodynamics (RMHD) using a hybrid PDE and data-driven workflow. Instead of training for the conservative form of the equations, we work with Jacobians or PDE characteristics directly in terms of primitive variables. We further add to the trainable system the divergence-free condition, without the need of cleaning modes. Using a novel MUON optimizer implementation, we show that a baseline PINN trained on early-time snapshots can extrapolate RMHD dynamics in one and two spatial dimensions, and that posterior residual-guided networks can systematically reduce PDE violations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23057 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reconstructing Relativistic Magnetohydrodynamics with Physics-Informed Neural Networks Cheung, Corwin Johnson-Noya, Marcos Xiang, Michael Chang, Dominic Guevara, Alfredo Computational Physics High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology We construct the first physics-informed neural-network (PINN) surrogates for relativistic magnetohydrodynamics (RMHD) using a hybrid PDE and data-driven workflow. Instead of training for the conservative form of the equations, we work with Jacobians or PDE characteristics directly in terms of primitive variables. We further add to the trainable system the divergence-free condition, without the need of cleaning modes. Using a novel MUON optimizer implementation, we show that a baseline PINN trained on early-time snapshots can extrapolate RMHD dynamics in one and two spatial dimensions, and that posterior residual-guided networks can systematically reduce PDE violations. |
| title | Reconstructing Relativistic Magnetohydrodynamics with Physics-Informed Neural Networks |
| topic | Computational Physics High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2512.23057 |