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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Direct sampling method to inverse wave-number-dependent source problems: determination of the support of a stationary source
反波数 相关源问题 直接采样 固定源
2023/11/29
This talk is concerned with a direct sampling method for imaging the support of a frequency-dependent source term embedded in a homogeneous and isotropic medium. The source term is given by the Fourie...
In this talk, I will report some recent progress regarding wave scattering problems in anisotropic media.
Gravitational-wave detectors start next observing run to explore the secrets of the universe（图）
引力波探测器 引力波 宇宙观测
2023/6/9
The following article is adapted from a press release issued by the Laser Interferometer Gravitational-wave Observatory (LIGO) Laboratory, in collaboration with the LIGO Scientific Collaboration and V...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Harmonic analysis meets wave equation
谐波分析 符合 波动方程
2023/5/10
In this talk I plan to survey some progress on Hardy and BMO spaces, Riesz transforms, Bochner-Riesz means and spherical means by using the method of wave equation,and show interesting connections and...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Space-time finite and boundary element methods for the wave equation
波动方程 时空有限元 边界元方法
2023/4/21
In this talk we will review some recent results on space-time finite and boundary element methods for the wave equation. As a first model problem we consider the inhomogeneous wave equation with zero ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlinear stability of travelling wave solution of the Navier-Stokes-Poisson system for ions with $\gamma$-law pressure
纳维-斯托克斯-泊松系统 行波解 $γ$定律压力离子 非线性稳定性
2023/4/17
We consider the existence, uniqueness and nonlinear stability of the travelling wave solution of the Navier-Stokes-Poisson system with density-dependent viscosity for ions. Firstly, we derive a system...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Strichartz estimates for wave equations with a potential in non-trapping exterior domains
斯特里查茨估计 非陷阱外域 波动方程
2023/4/14
Consider the linear wave equations with a potential outside a compact set with a non-trapping boundary condition. Assuming that the potential satisfies an appropriate decreasing condition and that zer...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convergence analysis of one-point large deviations rate functions of numerical methods for stochastic wave equations with small noise
小噪声 随机波动方程 数值方法 单点大偏差率 函数收敛分析
2023/4/21
In this talk, we present the pointwise convergence of one-point large deviations rate functions (LDRFs) of the spatial finite difference method and further the fully discrete method based on the tempo...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Inverse problems for stochastic wave equations
随机波动方程 反问题 随机偏微分方程
2023/4/25
Stochastic wave equations describe wave motion in random environments that is common in realistic situations. In this talk, I will present our recent studies on the inverse source and potential proble...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The N-periodic wave solutions of some coupled bilinear equations
耦合 双线性方程 N周期波解
2023/4/26
In this talk, we present an efficient numerical scheme to calculate the N-periodic wave solutions to the Tzitzeica equation, the (2+1)-dimensional modified Bogoyavlenskii-Schiff equation and the mKdV-...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Wave scattering in anisotropic media
各向异性介质 波散射 数学
2023/4/26
In this talk, I will report some recent progress regarding wave scattering problems in anisotropic media.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A two-stage physics-informed neural network method based on conserved quantities and applications in localized wave solutions
守恒量 两阶段物理信息 神经网络方法 局部波解
2023/5/5
With the advantages of fast calculating speed and high precision, the physics-informed neural network method opens up a new approach for numerically solving nonlinear partial differential equations. B...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The long wave approximation of the Green-Naghdi equations with the Coriolis effect
格林-纳格迪方程 长波近似 科里奥利效应
2023/5/8
This talk study the long wave asymptotic behavior of Green-Naghdi equations, which could be used to describe the propagation of long-crested shallow-water waves in the equatorial ocean regions with th...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Eccentricity sheds light on gravitational-wave dark sirens in the mid-band
偏心率 中频带 引力波 暗警报器
2023/5/9
The source localization and distance inference of gravitational waves (GWs) are two crucial factors for GW standard sirens as precise probes of cosmology, astrophysics, and fundamental physics. In thi...
光电信息大讲堂第211期：Silicon-Based Mm-Wave Circuit Techniques for Communication and Radar
毫米波芯片 硅基工艺 通信芯片
2023/4/17
毫米波具有丰富的频率资源，已逐步应用于高速通信和高精度雷达等领域。但由于硅基工艺本身的限制，采用硅基工艺实现毫米波芯片面临巨大的技术挑战。本报告讨论了硅基毫米波芯片技术的发展以及所面临的技术挑战，介绍了本课题组在解决宽带收发链路、高精度毫米波信号源和相控阵等方面的工作，并简要介绍了本课题组开发的毫米波雷达与通信芯片。