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20172026
most citedThe Existence of Periodic Solutions for Nonlinear Beam Equations on by a Para-differential Method

2 citations · 5 across the 13 of their papers we have counts for

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7 papers · 1 filter

math.AP2026

Symmetrization of the Maxwell--Neumann--Poincar'e operator, spectral decomposition in traces, and boundary localisation of SPRs

Bochao Chen, Yixian Gao, Hongyu Liu

The Neumann--Poincaré (NP) operator, a fundamental operator in potential theory, has attracted renewed attention for its central role in the analysis of surface plasmon resonances…

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…

math.AP2024

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.AP2023

Stability for Time-domain Elastic Wave Equations

Bochao Chen, Yixian Gao, Shuguan Ji +1

This paper is concerned with the inverse scattering problem involving the time-domain elastic wave equations in a bounded -dimensional domain. First, an explicit reconstruction…

math.AP2022

Resonant modal approximation of time-domain elastic scattering from nano-bubbles in elastic materials

Bochao Chen, Yixian Gao, Yong Li +1

This paper is devoted to establishing the resonant modal expansion of the low-frequency part of the scattered field for acoustic bubbles embedded in elastic materials in the time d…

math.AP2022★ 1 cited

Modal approximation for time-domain elastic scattering from metamaterial quasiparticles

Bochao Chen, Yixian Gao, Hongyu Liu

This paper aims at quantitatively understanding the elastic wave scattering due to negative metamaterial structures under wide-band signals in the time domain. Specifically, we est…