Approximate controllability for 2D Euler equations
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909580351504384 |
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| author | Rodrigues, Sérgio S. |
| author_facet | Rodrigues, Sérgio S. |
| contents | Approximate controllability of the Euler equations is investigated by means of a finite set of actuators. It is proven that approximate controllability holds if we can find a saturating subset of actuators. The notion of saturating set is relaxed when compared to previous literature, still being a sufficient condition for approximate controllability. The result holds for general bounded two-dimensional spatial domains with smooth boundary. An example of a saturating set is given in the case the spatial domain is the unit disk. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15164 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Approximate controllability for 2D Euler equations Rodrigues, Sérgio S. Optimization and Control 93C20, 93C10, 93B05, 35Q31, 35Q35 Approximate controllability of the Euler equations is investigated by means of a finite set of actuators. It is proven that approximate controllability holds if we can find a saturating subset of actuators. The notion of saturating set is relaxed when compared to previous literature, still being a sufficient condition for approximate controllability. The result holds for general bounded two-dimensional spatial domains with smooth boundary. An example of a saturating set is given in the case the spatial domain is the unit disk. |
| title | Approximate controllability for 2D Euler equations |
| topic | Optimization and Control 93C20, 93C10, 93B05, 35Q31, 35Q35 |
| url | https://arxiv.org/abs/2408.15164 |