Stability analysis of the Navier–Stokes velocity tracking problem with bang-bang controls

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00585939" target="_blank" >RIV/67985840:_____/24:00585939 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s10957-024-02413-6" target="_blank" >https://doi.org/10.1007/s10957-024-02413-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10957-024-02413-6" target="_blank" >10.1007/s10957-024-02413-6</a>

Result language
angličtina
Original language name
Stability analysis of the Navier–Stokes velocity tracking problem with bang-bang controls
Original language description
This paper focuses on the stability of solutions for a velocity-tracking problem associated with the two-dimensional Navier-Stokes equations. The considered optimal control problem does not possess any regularizer in the cost, and hence bang-bang solutions can be expected. We investigate perturbations that account for uncertainty in the tracking data and the initial condition of the state, and analyze the convergence rate of solutions when the original problem is regularized by the Tikhonov term. The stability analysis relies on the Hölder subregularity of the optimality mapping, which stems from the necessary conditions of the problem.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GC22-08633J" target="_blank" >GC22-08633J: Qualitative Theory of the MHD and Related Equations</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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