Small-time local stabilization of the two-dimensional incompressible Navier–Stokes equations

  • Shengquan Xiang

    Peking University, Beijing, China
Small-time local stabilization of the two-dimensional incompressible Navier–Stokes equations cover
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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 eC/Te^{C/T} 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 (2023),

DOI 10.4171/AIHPC/70