Data assimilation for the barotropic Navier-Stokes system
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918400447479808 |
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| author | Feireisl, Eduard |
| author_facet | Feireisl, Eduard |
| contents | We consider a continuous data assimilation method for the barotropic Navier--Stokes system. The observed solution is supposed to be bounded on the whole time period of observation, while the synchronized solution, usually provided by a numerical method, belongs to the class of dissipative solutions that is considerably larger than the class of conventional weak solutions. A complete synchronization is shown on any compact prediction interval provided the nudging parameters are chosen appropriately. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_20440 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Data assimilation for the barotropic Navier-Stokes system Feireisl, Eduard Analysis of PDEs We consider a continuous data assimilation method for the barotropic Navier--Stokes system. The observed solution is supposed to be bounded on the whole time period of observation, while the synchronized solution, usually provided by a numerical method, belongs to the class of dissipative solutions that is considerably larger than the class of conventional weak solutions. A complete synchronization is shown on any compact prediction interval provided the nudging parameters are chosen appropriately. |
| title | Data assimilation for the barotropic Navier-Stokes system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.20440 |