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arXiv · 2010.13696

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

Shengquan Xiang
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Abstract

We provide 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.

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Shengquan Xiang. 2020-10-26. Small-time local stabilization of the two dimensional incompressible Navier-Stokes equations. https://arxiv.org/abs/2010.13696

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