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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
2023/11/15
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：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
2023/4/13
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：Asymptotic stability of the bipolar Navier-Stokes-Poisson system with boundary
具有边界 双极 纳维-斯托克斯-泊松系统 渐近稳定性
2022/11/25
In this talk, the combined quasi-neutral and zero-viscosity limits of the two-fluid Navier-Stokes-Poisson systems (one for ion and another for electron) with boundary are rigorously proved by investig...