论文标题

二维不可压缩的Navier-Stokes方程的小型局部稳定

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

论文作者

Xiang, Shengquan

论文摘要

我们提供明确的时间变化反馈定律,以局部稳定两维内部受控的不可压缩的Navier-Stokes方程,以任意时间。我们还通过固定反馈法律获得了定量快速稳定,以及具有$ e^{c/t} $成本的显式控件的定量零可控性。

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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