Stabilization of 3D Navier–Stokes Equations to Trajectories by Finite-Dimensional RHC
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| Type of Publication: | Journal article |
| Publication status: | Published |
| URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-2-1xjr4zafygq999 |
| Author: | Azmi, Behzad |
| Year of publication: | 2022 |
| Published in: | Applied Mathematics & Optimization ; 86 (2022), 3. - 38. - Springer. - ISSN 0095-4616. - eISSN 1432-0606 |
| DOI (citable link): | https://dx.doi.org/10.1007/s00245-022-09900-0 |
| Summary: |
Local exponential stabilization of the three-dimensional Navier–Stokes system to a given reference trajectory via receding horizon control (RHC) is investigated. The RHC enters as the linear combinations of a finite number of actuators. The actuators are spatial functions and can be chosen in particular as indicator functions whose supports cover only a part of the spatial domain.
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| Subject (DDC): | 510 Mathematics |
| Keywords: | Receding horizon control, 3D Navier–Stokes equations, Finite-dimensional control, Stabilization |
| Link to License: | Attribution 4.0 International |
| Bibliography of Konstanz: | Yes |
| Refereed: | Yes |
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AZMI, Behzad, 2022. Stabilization of 3D Navier–Stokes Equations to Trajectories by Finite-Dimensional RHC. In: Applied Mathematics & Optimization. Springer. 86(3), 38. ISSN 0095-4616. eISSN 1432-0606. Available under: doi: 10.1007/s00245-022-09900-0
@article{Azmi2022-12Stabi-58762, title={Stabilization of 3D Navier–Stokes Equations to Trajectories by Finite-Dimensional RHC}, year={2022}, doi={10.1007/s00245-022-09900-0}, number={3}, volume={86}, issn={0095-4616}, journal={Applied Mathematics & Optimization}, author={Azmi, Behzad}, note={Article Number: 38} }
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