3 papers
math.AP2026
Feedback Stabilization and Tracking for Heat Equations Using Thermo-Plasmonic Nanoparticles as Actuators
Arpan Mukherjee, Sérgio S. Rodrigues, Mourad Sini
We propose a feedback strategy to track prescribed heat profiles using plasmonic nanoparticles as actuators. Starting from a thermo--plasmonic Maxwell--heat model, we use a time-do…
math.AP2026
Stabilization of nonautonomous Navier-Stokes flows under dynamic slip boundary conditions
Buddhika Priyasad, Sérgio S. Rodrigues
Exponential stabilizability of the incompressible Navier-Stokes equations under dynamic slip boundary conditions toward arbitrary time-dependent trajectories is proven. The feedbac…
math.AP2023
Stabilization of 2D Navier-Stokes equations by means of actuators with locally supported vorticity
Sérgio S. Rodrigues, Dagmawi A. Seifu
Exponential stabilization to time-dependent trajectories for the incompressible Navier-Stokes equations is achieved with explicit feedback controls. The fluid is contained in two-d…