Showing math.APShow all
3 papers · 1 filter
math.AP2025
The analysis of resonant frequencies and blow-up estimates of close-to-touching subwavelength resonators in the two-dimensional Helmholtz system
Hongjie Dong, Hongjie Li, Longjuan Xu
In this paper, we investigate wave scattering by a pair of closely spaced inclusions embedded in a homogeneous medium, characterized by a high contrast physical parameters. The sys…
math.AP2024
Examples of non-scattering inhomogeneities
Lucas Chesnel, Houssem Haddar, Hongjie Li +1
We consider the scattering of waves by a penetrable inclusion embedded in some reference medium. We exhibit examples of materials and geometries for which non-scattering frequencie…
math.AP2024
Resonant modes of two hard inclusions within a soft elastic material and their stress estimate
Hongjie Li, Longjuan Xu
In this paper, we are concerned with subwavelength resonant modes of two hard inclusions embedding in soft elastic materials to realize negative materials in elasticity. All the $1…