On the convergence to the Navier-Stokes-Maxwell system with solenoidal Ohm's law
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909690426818560 |
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| author | Guo, Zihua Zhang, Zeng |
| author_facet | Guo, Zihua Zhang, Zeng |
| contents | The incompressible Navier-Stokes-Maxwell system with solenoidal Ohm's law can be viewed as as the asymptotic limit of the two-fluid incompressible Navier-Stokes-Maxwell system as the momentum transfer coefficient tends to zero (see [1], Arsénio, Ibrahim and Masmoudi, Arch. Ration. Mech. Anal., 2015). We prove this limit rigorously without loss of regularity by using the idea of frequency envelope. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_11881 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the convergence to the Navier-Stokes-Maxwell system with solenoidal Ohm's law Guo, Zihua Zhang, Zeng Analysis of PDEs 35Q30, 35Q61, 35A01 The incompressible Navier-Stokes-Maxwell system with solenoidal Ohm's law can be viewed as as the asymptotic limit of the two-fluid incompressible Navier-Stokes-Maxwell system as the momentum transfer coefficient tends to zero (see [1], Arsénio, Ibrahim and Masmoudi, Arch. Ration. Mech. Anal., 2015). We prove this limit rigorously without loss of regularity by using the idea of frequency envelope. |
| title | On the convergence to the Navier-Stokes-Maxwell system with solenoidal Ohm's law |
| topic | Analysis of PDEs 35Q30, 35Q61, 35A01 |
| url | https://arxiv.org/abs/2507.11881 |