9 citations · 11 across the 7 of their papers we have counts for
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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…
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…
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…
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…
Quantitative homogenization of state-constraint Hamilton--Jacobi equations on perforated domains and applications
Yuxi Han, Wenjia Jing, Hiroyoshi Mitake +1
We study the periodic homogenization problem of state-constraint Hamilton--Jacobi equations on perforated domains in the convex setting and obtain the optimal convergence rate. We…
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…
Large time average of reachable sets and Applications to Homogenization of interfaces moving with oscillatory spatio-temporal velocity
W. Jing, P. E. Souganidis, H. V. Tran
We study the averaging of fronts moving with positive oscillatory normal velocity, which is periodic in space and stationary ergodic in time. The problem can be reformulated as the…