activity
20132026
most citedSelf-adjoint elliptic operators with boundary conditions on not closed hypersurfaces

48 citations · 263 across the 66 of their papers we have counts for

collaborators

71 papers

math.AP2026

Interface-Shifted Minnaert Resonances

Huaian Diao, Long Li, Mourad Sini

We develop a unified asymptotic theory for Minnaert resonances generated by a small bubble placed near an interface of material discontinuity in an acoustic bac…

math.SP2026

Eigenvalue Asymptotics in High-Contrast Media

Huaian Diao, Long Li, Mourad Sini +1

We investigate the eigenfrequency asymptotics of a bounded acoustic cavity containing a shrinking high-contrast inclusion. This configuration is motivated by contrast-enhanced ultr…

math.AP2026

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…

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…