Hasegawa-Mima equation in bounded domain with singular density
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915504734601216 |
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| author | Flandoli, Franco Tahraoui, Yassine |
| author_facet | Flandoli, Franco Tahraoui, Yassine |
| contents | We investigate the well-posedness of Hasegawa-Mima equation (HME) in bounded domain with Dirichlet boundary condition and singular density under different regularity assumptions on the data. Our approach relies on the coupling of a fourth-order regularization of the HME, the spectral Galerkin method and an appropriate regularization of the singular density. Uniqueness holds in the class of solutions with very mild singularities à la Yudovich or with bounded densities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_16754 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hasegawa-Mima equation in bounded domain with singular density Flandoli, Franco Tahraoui, Yassine Analysis of PDEs Mathematical Physics We investigate the well-posedness of Hasegawa-Mima equation (HME) in bounded domain with Dirichlet boundary condition and singular density under different regularity assumptions on the data. Our approach relies on the coupling of a fourth-order regularization of the HME, the spectral Galerkin method and an appropriate regularization of the singular density. Uniqueness holds in the class of solutions with very mild singularities à la Yudovich or with bounded densities. |
| title | Hasegawa-Mima equation in bounded domain with singular density |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2509.16754 |