Well-posedness and convergence of entropic approximation of semi-geostrophic equations
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916224527499264 |
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| author | Carlier, Guillaume Malamut, Hugo |
| author_facet | Carlier, Guillaume Malamut, Hugo |
| contents | We prove existence and uniqueness of solutions for an entropic version of the semi-geostrophic equations. We also establish convergence to a weak solution of the semi-geostrophic equations as the entropic parameter vanishes. Convergence is also proved for discretizations that can be computed numerically in practice as shown recently in [6]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_17387 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Well-posedness and convergence of entropic approximation of semi-geostrophic equations Carlier, Guillaume Malamut, Hugo Analysis of PDEs Mathematical Physics Optimization and Control We prove existence and uniqueness of solutions for an entropic version of the semi-geostrophic equations. We also establish convergence to a weak solution of the semi-geostrophic equations as the entropic parameter vanishes. Convergence is also proved for discretizations that can be computed numerically in practice as shown recently in [6]. |
| title | Well-posedness and convergence of entropic approximation of semi-geostrophic equations |
| topic | Analysis of PDEs Mathematical Physics Optimization and Control |
| url | https://arxiv.org/abs/2404.17387 |