3 papers
math.AP2025
Quasi-periodic response solutions of nonlinear plate models with nonlocal energy damping
Bochao Chen, Yixian Gao, Zhaosheng Feng +1
Response solutions are quasi-periodic ones with the same frequency as the forcing term. The present work is devoted to constructing response solutions for -dimensional nonlinear…
math.AP2025
Subwavelength Phononic Bandgaps in High-Contrast Elastic Media
Yuanchun Ren, Bochao Chen, Yixian Gao +1
Inspired by [25], this paper investigates subwavelength bandgaps in phononic crystals consisting of periodically arranged hard elastic materials embedded in a soft elastic backgrou…
math.AP2025
Analysis of subwavelength resonances in high contrast elastic media by a variational method
Bochao Chen, Yixian Gao, Peijun Li +1
In this paper, we present a mathematical study of wave scattering by a hard elastic obstacle embedded in a soft elastic body in three dimensions. Our contributions are threefold. F…