179 citations · 179 across the 1 of their papers we have counts for
3 papers
Continuous Data Assimilation Using General Interpolant Observables
Abderrahim Azouani, Eric Olson, Edriss S. Titi
We present a new continuous data assimilation algorithm based on ideas that have been developed for designing finite-dimensional feedback controls for dissipative dynamical systems…
Feedback Control of Nonlinear Dissipative Systems by Finite Determining Parameters - A Reaction-diffusion Paradigm
Abderrahim Azouani, Edriss S. Titi
We introduce here a simple finite-dimensional feedback control scheme for stabilizing solutions of infinite-dimensional dissipative evolution equations, such as reaction-diffusion…
Evolution of convex lens-shaped networks under curve shortening flow
Oliver C. Schnürer, Abderrahim Azouani, Marc Georgi +8
We consider convex symmetric lens-shaped networks in R^2 that evolve under curve shortening flow. We show that the enclosed convex domain shrinks to a point in finite time. Further…