Publikation:

Stabilization of 3D Navier–Stokes Equations to Trajectories by Finite-Dimensional RHC

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2022

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Applied Mathematics & Optimization. Springer. 2022, 86(3), 38. ISSN 0095-4616. eISSN 1432-0606. Available under: doi: 10.1007/s00245-022-09900-0

Zusammenfassung

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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Fachgebiet (DDC)
510 Mathematik

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Receding horizon control, 3D Navier–Stokes equations, Finite-dimensional control, Stabilization

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ISO 690AZMI, Behzad, 2022. Stabilization of 3D Navier–Stokes Equations to Trajectories by Finite-Dimensional RHC. In: Applied Mathematics & Optimization. Springer. 2022, 86(3), 38. ISSN 0095-4616. eISSN 1432-0606. Available under: doi: 10.1007/s00245-022-09900-0
BibTex
@article{Azmi2022-12Stabi-58762,
  year={2022},
  doi={10.1007/s00245-022-09900-0},
  title={Stabilization of 3D Navier–Stokes Equations to Trajectories by Finite-Dimensional RHC},
  number={3},
  volume={86},
  issn={0095-4616},
  journal={Applied Mathematics & Optimization},
  author={Azmi, Behzad},
  note={Article Number: 38}
}
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