6 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…
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…
Uniform Resolvent Estimates for Subwavelength Resonators: The Minnaert Bubble Case
Long Li, Mourad Sini
Subwavelength resonators are small scaled objects that exhibit contrasting medium properties (eigher in intensity or sign) while compared to the ones of a uniform background. Such…
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…
High Contrast Transmission and Fabry-Pérot-type Resonances
Long Li, Mourad Sini
It is well known, in the acoustic model, that highly contrasting transmission leads to the so-called Minnaert subwavelength resonance. In this work, we show that such highly contra…
Stability of rotating magnetic levitation
Mingjun Fan, Jinyu Chen, Yongquan Ji +3
Dynamical magnetic levitation has attracted broad interest in the realm of physics and engineering. The stability analysis of such system is of great significance for practical app…