Michael Ray, Yves C. Martin
Proceedings of SPIE - The International Society for Optical Engineering
We present simulation friendly detectability conditions for 2D Navier–Stokes Equation (NSE) with periodic boundary conditions, and describe a generic class of “detectable” observation operators: it includes pointwise evaluation of NSE's solution at interpolation nodes, and spatial average measurements. For “detectable” observation operators we design a global infinite-dimensional observer for NSE with uncertain possibly destabilizing inputs: in our numerical experiments we illustrate H1-sensitivity of NSE to small perturbations of initial conditions, yet the observer converges for known and uncertain inputs.
Michael Ray, Yves C. Martin
Proceedings of SPIE - The International Society for Optical Engineering
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