SMALL-TIME LOCAL STABILIZATION OF THE TWO DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2020

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 exp(C/T) costs.
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Dates and versions

hal-03053735 , version 1 (11-12-2020)

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  • HAL Id : hal-03053735 , version 1

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Shengquan Xiang. SMALL-TIME LOCAL STABILIZATION OF THE TWO DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS. 2020. ⟨hal-03053735⟩
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