no. 6
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
Le texte intégral des articles récents est réservé aux abonnés de la revue. Consultez l'article sur le site de la revue.

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 
@article{AIHPC_2023__40_6_1487_0,
     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},
     year = {2023},
     volume = {40},
     number = {6},
     doi = {10.4171/aihpc/70},
     language = {en},
     url = {https://www.numdam.org/articles/10.4171/aihpc/70/}
}
TY  - JOUR
AU  - Xiang, Shengquan
TI  - Small-time local stabilization of the two-dimensional incompressible Navier–Stokes equations
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2023
SP  - 1487
EP  - 1511
VL  - 40
IS  - 6
UR  - https://www.numdam.org/articles/10.4171/aihpc/70/
DO  - 10.4171/aihpc/70
LA  - en
ID  - AIHPC_2023__40_6_1487_0
ER  - 
%0 Journal Article
%A Xiang, Shengquan
%T Small-time local stabilization of the two-dimensional incompressible Navier–Stokes equations
%J Annales de l'I.H.P. Analyse non linéaire
%D 2023
%P 1487-1511
%V 40
%N 6
%U https://www.numdam.org/articles/10.4171/aihpc/70/
%R 10.4171/aihpc/70
%G en
%F AIHPC_2023__40_6_1487_0
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

Cité par Sources :