Non null controllability of Stokes equations with memory
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866914662858096640 |
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| author | Fernández-Cara, Enrique Machado, José Lucas F. Souza, Diego A. |
| author_facet | Fernández-Cara, Enrique Machado, José Lucas F. Souza, Diego A. |
| contents | In this paper, we study the null controllability of the three-dimensional Stokes equations with a memory term. For any positive final time $T>0$, we construct initial conditions such that the null controllability does not hold even if the controls act on the whole boundary. Moreover, we also prove that this negative result holds for distributed controls. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1811_06573 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Non null controllability of Stokes equations with memory Fernández-Cara, Enrique Machado, José Lucas F. Souza, Diego A. Analysis of PDEs Optimization and Control In this paper, we study the null controllability of the three-dimensional Stokes equations with a memory term. For any positive final time $T>0$, we construct initial conditions such that the null controllability does not hold even if the controls act on the whole boundary. Moreover, we also prove that this negative result holds for distributed controls. |
| title | Non null controllability of Stokes equations with memory |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/1811.06573 |