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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Spectral instability of Electronic Euler-Poisson System
电子 Euler-Poisson系统 谱不稳定性
2023/12/11
The focus of this presentation is the spectral (in-)stability of periodic waves for the electronic Euler-Poisson system, a hydrodynamical model for understanding electron dynamics in plasmas. It is fo...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Homological instability for the moduli space of smooth 4-manifolds
光滑 4-流形模空间 同调不稳定性
2023/5/5
The moduli space of a smooth manifold X is defined to be the classifying space of its diffeomorphism group. Understanding the cohomology group of this space is important because elements in this group...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlinear structural stability and linear dynamic instability of transonic steady-states to a hydrodynamic model for semiconductors
跨音速稳态 非线性结构稳定性 线性动态不稳定性 半导体 流体动力学模型
2023/5/8
For unipolar hydrodynamic model of semiconductor device represented by Euler-Poisson equations, when the doping profile is supersonic, the existence of steady transonic shock solutions and C^\infty-sm...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stability and instability of a generic non--conservative compressible two--fluid model
通用非保守 可压缩 双流体模型 稳定性 不稳定性
2023/5/8
We are concerned with stability and instability of the steady state (1,0, 1, 0) for a generic non–conservative compressible two–fluid model in R^3. Under the assumption that the initial fraction densi...
Trying to decipher all of the factors that influence the behavior of complex ecological communities can be a daunting task. However, MIT researchers have now shown that the behavior of these ecosystem...