We develop an algorithm based on the nudging data assimilation scheme for concurrent (on-the-fly) estimation of scalar parameters a system evolutionary dissipative partial differential equations in which state is partially observed. The takes advantage error that results from with incorrect true system. intuitive nature makes its extension to several different systems immediate, and it allows r...

The Kuramoto-Sivashinsky equation is a dissipative evolution equation in one space dimension which, despite its apparent simplicity, gives rise to a very rich dynamical behavior, as evidenced for instance by the study in [16], of its complicated set of stationary solutions and stationary and Hopf bifurcations. The large time behavior of the solutions is usually embodied by the attractor and the...