Fausto Bernardini, Holly Rushmeier
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.
Fausto Bernardini, Holly Rushmeier
Proceedings of SPIE - The International Society for Optical Engineering
I.K. Pour, D.J. Krajnovich, et al.
SPIE Optical Materials for High Average Power Lasers 1992
Michael E. Henderson
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
John S. Lew
Mathematical Biosciences