Numerical simulations for the stabilization and estimation problem of a semilinear partial differential equation

We deal with the numerical approximation of the problem of local stabilization of Burgers equation. We consider the case when only partial boundary measurements are available. An estimator is coupled with a feedback law in order to stabilize the discretized system. Two different feedback laws are compared. Their performance is analyzed in different domains related to idealized cardiovascular geometries, with increasing complexity.