10 citations · 25 across the 21 of their papers we have counts for
21 papers
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…
On an inverse problem for the plate equation with passive measurement
Yixian Gao, Hongyu Liu, Yang Liu
This paper focuses on an inverse problem associated with the plate equation which is derived from models in fluid mechanics and elasticity. We establish the unique identifying resu…
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…
KAM Theorems for Multi-scale Torus
Weichao Qian, Yixian Gao, Yong Li
In present paper, from the viewpoint of physical intuition we introduce a Hamiltonian system with multiscale rotation, which describes many systems, for example, the forced pendulu…
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…
Analysis of the Spatio-temporal Dynamics of COVID-19 in Massachusetts via Spectral Graph Wavelet Theory
Ru Geng, Yixian Gao, Hongkun Zhang +1
The rapid spread of COVID-19 disease has had a significant impact on the world. In this paper, we study COVID-19 data interpretation and visualization using open-data sources for 3…
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,…
Well-posedness for good Boussinesq equations subject to quasi-periodic initial data
Yixian Gao, Yong Li, Chang Su
This paper concerns the local well-posedness for the "good" Boussinesq equation subject to quasi-periodic initial conditions. By constructing a delicately and subtly iterative proc…
Analysis of Time-domain Electromagnetic Scattering Problem by Multiple Cavities
Yang Liu, Yixian Gao, Jian Zu
Consider the time-domain multiple cavity scattering problem, which arises in diverse scientific areas and has significant industrial and military applications. The multiple cavity…
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…
On an inverse source problem for the Biot's equations in electro-seismic imaging
Yixian Gao, Peijun Li, Yang Yang
Electro-seismic imaging is a novel hybrid imaging modality in geophysical exploration. This paper concerns an inverse source problem for Biot's equations that arise in electro-seis…
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…
Electromagnetic field enhancement in a subwavelength rectangular open cavity
Yixian Gao, Peijun Li, Xiaokai Yuan
Consider the transverse magnetic polarization of the electromagnetic scattering of a plane wave by a perfectly conducting plane surface, which contains a two-dimensional subwavelen…
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…
Analysis of Transient Acoustic-Elastic Interaction in an Unbounded Structure
Yixian Gao, Peijun Li, Bo Zhang
Consider the wave propagation in a two-layered medium consisting of a homogeneous compressible air or fluid on top of a homogeneous isotropic elastic solid. The interface between t…
Electromagnetic Scattering for Time-Domain Maxwell's Equations in an Unbounded Structure
Yixian Gao, Peijun Li
The goal of this work is to study the electromagnetic scattering problem of time-domain Maxwell's equations in an unbounded structure. An exact transparent boundary condition is de…
Analysis of Time-Domain Scattering by Periodic Structures
Yixian Gao, Peijun Li
This paper is devoted to the mathematical analysis of a time-domain electromagnetic scattering by periodic structures which are known as diffraction gratings. The scattering proble…