Hydrodynamic limit of rarefaction wave for the Vlasov-Maxwell-Landau system with Coulomb potential
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910032640081920 |
|---|---|
| author | Wang, Guanghui Xu, Lingda Yang, Tong Zhong, Mingying |
| author_facet | Wang, Guanghui Xu, Lingda Yang, Tong Zhong, Mingying |
| contents | In this paper, we investigate the hydrodynamic limit of rarefaction wave for the two-species Vlasov-Maxwell-Landau(VML) system with Coulomb potential. We prove that for any given time interval, the solution of the Vlasov-Maxwell-Landau system with appropriate initial data converges to a rarefaction wave as the Knudsen number $ε$ approaches zero. The main difficulty in the analysis lies in the loss of dissipation in the interaction between the electromagnetic field and the microscopic component, and the weak dissipation induced by the Lorentz force and the scaling with small parameter $ε$. For this, we introduce a velocity weight function and a space-time scaling parameter together with suitable $ε$-dependent energy estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_21506 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hydrodynamic limit of rarefaction wave for the Vlasov-Maxwell-Landau system with Coulomb potential Wang, Guanghui Xu, Lingda Yang, Tong Zhong, Mingying Analysis of PDEs 76P05, 82C40, 82D05 In this paper, we investigate the hydrodynamic limit of rarefaction wave for the two-species Vlasov-Maxwell-Landau(VML) system with Coulomb potential. We prove that for any given time interval, the solution of the Vlasov-Maxwell-Landau system with appropriate initial data converges to a rarefaction wave as the Knudsen number $ε$ approaches zero. The main difficulty in the analysis lies in the loss of dissipation in the interaction between the electromagnetic field and the microscopic component, and the weak dissipation induced by the Lorentz force and the scaling with small parameter $ε$. For this, we introduce a velocity weight function and a space-time scaling parameter together with suitable $ε$-dependent energy estimates. |
| title | Hydrodynamic limit of rarefaction wave for the Vlasov-Maxwell-Landau system with Coulomb potential |
| topic | Analysis of PDEs 76P05, 82C40, 82D05 |
| url | https://arxiv.org/abs/2602.21506 |