Geodesic
Small-time local stabilization of the two-dimensional incompressible Navier–Stokes equations
Annales de l'I.H.P. Analyse non linéaire, Tome 40 (2023) no. 6, pp. 1487-1511

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We construct explicit time-varying feedback laws that locally stabilize the two-dimensional internal controlled incompressible Navier–Stokes equations in arbitrarily small time. We also obtain quantitative rapid stabilization via stationary feedback laws, as well as quantitative null-controllability with explicit controls having e C/T costs.

Accepté le :
Publié le :
DOI : 10.4171/aihpc/70
Classification : 35Q30, 35S15, 93D15
Keywords: Cost, finite-time stabilization, null-controllability, quantitative, spectral inequality 
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     author = {Xiang, Shengquan},
     title = {Small-time local stabilization of the two-dimensional incompressible {Navier{\textendash}Stokes} equations},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1487--1511},
     volume = {40},
     number = {6},
     year = {2023},
     doi = {10.4171/aihpc/70},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/aihpc/70/}
}
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Xiang, Shengquan. Small-time local stabilization of the two-dimensional incompressible Navier–Stokes equations. Annales de l'I.H.P. Analyse non linéaire, Tome 40 (2023) no. 6, pp. 1487-1511. doi: 10.4171/aihpc/70

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