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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…
Homogenization of the scattered wave and scattering resonances for periodic high-contrast subwavelength resonators
Yuxin Du, Xin Fu, Wenjia Jing
We study time-harmonic scattering by a periodic array of penetrable, high-contrast obstacles with small period, confined to a bounded Lipschitz domain. The strong contrast between…
Wave packets propagation in the subwavelength regime near the Dirac point
Habib Ammari, Xin Fu, Wenjia Jing
In [Ammari et al., SIAM J Math Anal., 52 (2020), pp. 5441--5466], the first author with collaborators proved the existence of Dirac dispersion cones at subwavelength scales in bubb…
Convergence rate and uniform Lipschitz estimate in periodic homogenization of high-contrast elliptic systems
Xin Fu, Wenjia Jing
We consider the Dirichlet problem for elliptic systems with periodically distributed inclusions whose conduction parameter exhibits a significant contrast compared to the backgroun…