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math.AP2026
Band-Edge Homogenization and the Sound-Soft Limit of Finite Bubbly Crystals
Habib Ammari, Yuxin Du, Xin Fu +2
We establish a quantitative sound-soft scattering limit for a finite bubbly crystal near the upper edge of the first Bloch band of the corresponding infinite crystal. The inclusion…
math.AP2026
Minnaert resonances and higher-order acoustic modes for bubbles in a viscous fluid with surface tension
Habib Ammari, Xin Fu, Wenjia Jing +1
The aim of this paper is to account for viscosity, surface tension, and interactions between micro-bubbles in approximating their resonant behavior in the ultrasonic regime. Origin…
math.AP2026
Quantification of ergodicity for Hamilton--Jacobi equations in a dynamic random environment
Xiaoqin Guo, Wenjia Jing, Hung Vinh Tran +1
We study quantitative large-time averages for Hamilton--Jacobi equations in a dynamic random environment that is stationary ergodic and has unit-range dependence in time. Our motiv…