activity
20212026
most citedAsymptotic preserving scheme for anisotropic elliptic equations with deep neural network

10 citations · 10 across the 5 of their papers we have counts for

collaborators

8 papers

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…

math.AP2025

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…

physics.class-ph2025

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…

math.AP2024

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…

math.AP2024

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…

math.NA2021★ 10 cited

Asymptotic preserving scheme for anisotropic elliptic equations with deep neural network

Long Li, Chang Yang

In this paper, a new asymptotic preserving (AP) scheme is proposed for the anisotropic elliptic equations. Different from previous AP schemes, the actual one is based on first-orde…