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math.AP2026
Finite Spectral-Band Optimal Control of Acoustic Waves via Subwavelength Point-Like Resonant Actuators
Arpan Mukherjee, Mourad Sini
We study finite-band optimal control of acoustic waves actuated by local clusters of subwavelength resonators. The acoustic problem reduces to a time-domain Foldy-Lax approximation…
math.AP2026
Resonant Microstructures as Dirac-type Sources for Acoustic Wave Control
Arpan Mukherjee, Mourad Sini
We study finite-time acoustic wave tracking using effective interior Dirac-type actuators generated by clusters of subwavelength resonant bubbles driven from exterior transducers.…
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…