Small-time local stabilization of the two-dimensional incompressible Navier–Stokes equations
Shengquan Xiang
Peking University, Beijing, China
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Abstract
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 costs.
Cite this article
Shengquan Xiang, Small-time local stabilization of the two-dimensional incompressible Navier–Stokes equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 40 (2023), no. 6, pp. 1487–1511
DOI 10.4171/AIHPC/70