Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912355168813056 |
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| author | Chen, Ke Yang, Anita Zhong, Mingying |
| author_facet | Chen, Ke Yang, Anita Zhong, Mingying |
| contents | In the present paper, we study the diffusion limit of the strong solution to the one-species Vlasov-Maxwell-Boltzmann (VMB) system with initial data near a global Maxwellian. Based on spectral analysis techniques, we prove the convergence and establish the convergence rate of the classical solution to the VMB system towards the solution to the incompressible Navier--Stokes--Maxwell system with a precise estimation on the initial layer. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_21729 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Chen, Ke Yang, Anita Zhong, Mingying Analysis of PDEs 76P05, 82C40, 82D05 In the present paper, we study the diffusion limit of the strong solution to the one-species Vlasov-Maxwell-Boltzmann (VMB) system with initial data near a global Maxwellian. Based on spectral analysis techniques, we prove the convergence and establish the convergence rate of the classical solution to the VMB system towards the solution to the incompressible Navier--Stokes--Maxwell system with a precise estimation on the initial layer. |
| title | Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system |
| topic | Analysis of PDEs 76P05, 82C40, 82D05 |
| url | https://arxiv.org/abs/2504.21729 |