2 citations · 5 across the 13 of their papers we have counts for
13 papers
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…
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…
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…
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…
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…
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…
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…
Quasi-periodic travelling waves for a class of damped beams on rectangular tori
Bochao Chen, Yixian Gao, Juan J. Nieto
This article concerns a class of beam equations with damping on rectangular tori. When the generators satisfy certain relationship, by excluding some value of two model parameters,…
Periodic Solutions to Nonlinear Euler-Bernoulli Beam Equations
Bochao Chen, Yixian Gao, Yong Li
Bending vibrations of thin beams and plates may be described by nonlinear Euler-Bernoulli beam equations with -dependent coefficients. In this paper we investigate existence of…
The Existence of Periodic Solutions for Nonlinear Beam Equations on by a Para-differential Method
Bochao Chen, Yong Li, Yixian Gao
This paper focuses on the construction of periodic solutions of nonlinear beam equations on the -dimensional tori. For a large set of frequencies, we demonstrate that an equival…
Response solutions for wave equations with variable wave speed and periodic forcing
Bochao Chen, Yixian Gao, Yong Li +1
We consider a model of nonlinear wave equations with periodically varying wave speed and periodic external forcing. By imposing non-resonance conditions on the frequency, we establ…
Quasi-periodic solutions to nonlinear beam equation on Compact Lie Groups with a multiplicative potential
Bochao Chen, Yixian Gao, Shan Jiang +1
The goal of this work is to study the existence of quasi-periodic solutions in time to nonlinear beam equations with a multiplicative potential. The nonlinearities are required to…
Periodic Solutions to Nonlinear Wave equation with -dependent Coefficients under the General Boundary Conditions
Bochao Chen, Yong Li, Xue Yang
In this paper we consider a class of nonlinear wave equation with -dependent coefficients and prove existence of families of time-periodic solutions under the general boundary c…