On Global Well/Ill-Posedness of the Euler-Poisson System

2016 ◽  
pp. 215-231
Author(s):  
Eduard Feireisl
Keyword(s):  
Poisson System

scholarly journals Observers of Vlasov-Poisson system

2020 ◽  
Vol 53 (2) ◽  
pp. 5946-5951
Author(s):  
Amadou Cisse ◽  
Mohamed Boutayeb
Keyword(s):  
Poisson System

scholarly journals On a quasilinear Schrödinger-Poisson system

2021 ◽  
pp. 125446
Author(s):  
Yao Du ◽  
Jiabao Su ◽  
Cong Wang
Keyword(s):  
Poisson System

Diffusion limit of a Boltzmann–Poisson system with nonlinear equilibrium state

2019 ◽  
Vol 16 (01) ◽  
pp. 131-156
Author(s):  
Lanoir Addala ◽  
Mohamed Lazhar Tayeb
Keyword(s):  
Nonlinear Diffusion ◽  
Collision Operator ◽  
Nonlinear Diffusion Equation ◽  
One Dimension ◽  
Diffusion Limit ◽  
Poisson System ◽  
Nonlinear Relaxation ◽  
Contraction Property ◽  
Hilbert Expansion ◽  
Nonlinear Equilibrium

The diffusion approximation for a Boltzmann–Poisson system is studied. Nonlinear relaxation type collision operator is considered. A relative entropy is used to prove useful [Formula: see text]-estimates for the weak solutions of the scaled Boltzmann equation (coupled to Poisson) and to prove the convergence of the solution toward the solution of a nonlinear diffusion equation coupled to Poisson. In one dimension, a hybrid Hilbert expansion and the contraction property of the operator allow to exhibit a convergence rate.

On approximate solutions to the Euler–Poisson system with boundary layers

2021 ◽  
Vol 96 ◽  
pp. 105717
Author(s):  
Chang-Yeol Jung ◽  
Bongsuk Kwon ◽  
Masahiro Suzuki
Keyword(s):  
Boundary Layers ◽  
Approximate Solutions ◽  
Poisson System
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