4 papers
Rapid stabilization for Stokes and Navier-Stokes systems with localized disturbance
Christian Calle, Patricio Guzmán, Hugo Parada +1
In this study, we analyze the rapid stabilization of Stokes and the two- and three-dimensional Navier-Stokes systems in the presence of an unknown spatially localized disturbance.…
Rapid stabilization of the heat equation with localized disturbance
Patricio Guzmán, Hugo Parada, Christian Calle-Cárdenas
This paper studies the rapid stabilization of a multidimensional heat equation in the presence of an unknown spatially localized disturbance. A novel multivalued feedback control s…
Feedback stabilization of some fourth-order nonlinear parabolic equations with saturated controls
Patricio Guzmán, Felipe Labra, Hugo Parada
In this work, we analyze the internal and boundary stabilization of the Cahn-Hilliard and Kuramoto-Sivashinsky equations under saturated feedback control. We conduct our study thro…
Rapid stabilization for a wave equation with boundary disturbance
Patricio Guzmán, Agustín Huerta, Hugo Parada
In this paper, we study the rapid stabilization of an unstable wave equation, in which an unknown disturbance is located at the boundary condition. We address two different boundar…