3 papers
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
Perturbative Approach to Nonlinear Capacitance Matrix Formulations
Habib Ammari, Clemens Thalhammer
We study a nonlinear Helmholtz system with cubic nonlinearity on high-contrast inclusions in three dimensions, and the solitons that emerge as the contrast tends to zero. Usin…
math-ph2025
Nonlinear subwavelength resonances in three dimensions
Habib Ammari, Thea Kosche
In this paper, we consider the resonance problem for the cubic nonlinear Helmholtz equation in the subwavelength regime. We derive a discrete model for approximating the subwavelen…