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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.07710 |
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| _version_ | 1866915926420488192 |
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| author | Kim, Jeongho Moon, Bora |
| author_facet | Kim, Jeongho Moon, Bora |
| contents | We study the hydrodynamic limit of the Chern--Simons--Higgs system, a relativistic gauge field model involving the Chern--Simons interaction. We introduce a single scaling parameter capturing both the non-relativistic (infinite speed of light) and semi-classical (vanishing Planck constant) regimes. This unified scaling allows us to justify the simultaneous non-relativistic and semi-classical limit, while retaining the nontrivial influence of the Chern--Simons gauge structure. Using a modulated energy method, we establish quantitative convergence rates toward the corresponding compressible Euler--Chern--Simons system as the scaling parameter tends to zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_07710 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantitative Hydrodynamic Limit of the Chern--Simons--Higgs System Kim, Jeongho Moon, Bora Analysis of PDEs 35Q55, 35B40 We study the hydrodynamic limit of the Chern--Simons--Higgs system, a relativistic gauge field model involving the Chern--Simons interaction. We introduce a single scaling parameter capturing both the non-relativistic (infinite speed of light) and semi-classical (vanishing Planck constant) regimes. This unified scaling allows us to justify the simultaneous non-relativistic and semi-classical limit, while retaining the nontrivial influence of the Chern--Simons gauge structure. Using a modulated energy method, we establish quantitative convergence rates toward the corresponding compressible Euler--Chern--Simons system as the scaling parameter tends to zero. |
| title | Quantitative Hydrodynamic Limit of the Chern--Simons--Higgs System |
| topic | Analysis of PDEs 35Q55, 35B40 |
| url | https://arxiv.org/abs/2604.07710 |