# Detectability and global observer design for Navier-Stokes equations with unknown inputs

@inproceedings{Zhuk2021DetectabilityAG, title={Detectability and global observer design for Navier-Stokes equations with unknown inputs}, author={Sergiy M. Zhuk and Mykhaylo Zayats and Emilia Fridman}, year={2021} }

We present easy-to-verify detectability conditions for Navier-Stokes Equation (NSE) in two spatial dimensions with periodic boundary conditions, and describe a generic class of “detectable” observation operators: it includes point-like measurements (e.g. pointwise evaluation of NSE’s solution at interpolation nodes), and spatial average measurements. For “detectable” observation operators we design a global observer for NSE with unknown possibly destabilizing inputs: in our numerical…

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