18 papers
A Time-Domain Pressure-Interface Model for Gas Bubble Dynamics with Surface Tension: Well-Posedness, Classical Limits, and Resonance Branches
Long Li, Mourad Sini
We derive and analyze a time-domain pressure--interface evolution model for a compressible gas bubble in a compressible liquid with surface tension. Starting from the nonlinear two…
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…
Resonant Microstructures as Dirac-type Actuators for Acoustic Wave Control
Arpan Mukherjee, Mourad Sini
We study interior control of the acoustic wave equation via effective point sources generated by a finite cluster of resonant perturbations (modeling acoustic subwavelength bubbles…
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…
Efficient Numerical Reconstruction of Wave Equation Sources via Droplet-Induced Asymptotics
Shutong Hou, Mourad Sini, Haibing Wang
In this paper, we develop and numerically implement a novel approach for solving the inverse source problem of the acoustic wave equation in three dimensions. By injecting a small…
Uniform Space and Time Behavior for Acoustic Resonators
Long Li, Mourad Sini
We deal with the time-domain acoustic wave propagation in the presence of a subwavelength resonator given by a Minneart bubble. This bubble is small scaled and enjoys high contrast…