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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...
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...
We consider the semiclassical limit from the Hartree equation with Coulomb interaction potential to the Vlasov–Poisson equation. Using a new stability estimate for the difference of the square roots o...
In this talk, I will discuss the stability conditions for a free boundary problem of compressible Euler equations coupled with a nonlinear Poisson equation of electric potential. Under those stability...
The formal limit of the one-dimensional Vlasov-Poisson-Landau (VPL) system in the combined small Knudsen and quasineutral regimes gives the compressible Euler system. In the talk I will present a rece...
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...
The Poisson–Nernst–Planck (PNP) equations describe the dynamics of charged particles in an electric field that is also affected by these particles and have been used to model physical systems involvin...
利用随机过程相关知识对理赔次数服从复合Poisson-Geometric过程带干扰的风险模型做进一步研究,得出直至破产时刻总红利付款的期望现值、矩母函数及n阶矩所满足的积分微分方程及边界条件。
对理赔次数为复合Poisson-Geometric过程带干扰的双险种风险模型的进一步研究,得出破产时刻的期望现值、矩母函数以及n阶矩所满足的积分微分方程及边界条件。
We consider a diffusion model of small variance type with positive drift density varying in a nonparametric set. We investigate Gaussian and Poisson approximations to this model in the sense of asympt...
Exchangeable Pairs and Poisson Approximation
This paper proves limit theorems for the number of monochromatic edges in uniform random colorings of general random graphs. The limit theorems are universal depending solely on the limiting behavior ...
考虑随机利率因素下,将经典风险模型推广到保费收入和索赔支出相互独立的双复合Poisson风险模型,得到该风险模型的最终破产概率的精确表达式和一般不等式.
We consider a generic stochastic model of ion transport through a single channel with arbitrary internal structure and kinetic rates of transitions between internal states.This model is also applicabl...
Multivariate Poisson distributions have numerous applications. Fast computation of these distributions, holding constant a fixed set of linear combinations of these variables, has been explored by Son...

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