2 papers
math.OC2020
Stabilization of nonautonomous parabolic equations by a single moving actuator
Behzad Azmi, Karl Kunisch, Sérgio S. Rodrigues
It is shown that an internal control based on a moving indicator function is able to stabilize the state of parabolic equations evolving in rectangular domains. For proving the sta…
math.OC2010
Internal exponential stabilization to a non-stationary solution for 3D Navier-Stokes equations
Viorel Barbu, Sergio S. Rodrigues, Armen Shirikyan
We consider the Navier-Stokes system in a bounded domain with a smooth boundary. Given a sufficiently regular time-dependent global solution, we construct a finite-dimensional feed…