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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
High-Contrast Transmission Resonances for the Lamé System
Long Li, Mourad Sini
We consider the Lamé transmission problem in with a bounded isotropic elastic inclusion in a high-contrast setting, where the interior-to-exterior Lamé moduli and de…