scholarly journals Uniform-in-time bounds for approximate solutions of the drift–diffusion system

2019 ◽  
Vol 141 (4) ◽  
pp. 881-916
Author(s):  
M. Bessemoulin-Chatard ◽  
C. Chainais-Hillairet
Keyword(s):  
Approximate Solutions ◽  
Diffusion System ◽  
Drift Diffusion ◽  
Time Bounds

scholarly journals On a Drift–Diffusion System for Semiconductor Devices

2016 ◽  
Vol 17 (12) ◽  
pp. 3473-3498 ◽  
Author(s):  
Rafael Granero-Belinchón
Keyword(s):  
Semiconductor Devices ◽  
Diffusion System ◽  
Drift Diffusion

scholarly journals Exponential decay of a finite volume scheme to the thermal equilibrium for drift–diffusion systems

2017 ◽  
Vol 25 (3) ◽  
Author(s):  
Marianne Bessemoulin-Chatard ◽  
Claire Chainais-Hillairet
Keyword(s):  
Finite Volume ◽  
Thermal Equilibrium ◽  
Approximate Solutions ◽  
Large Time Behavior ◽  
Finite Volume Scheme ◽  
Time Behavior ◽  
Drift Diffusion ◽  
Thermal Equilibrium State ◽  
Diffusion Systems ◽  
Convergence Of Approximate Solutions

AbstractIn this paper, we study the large-time behavior of a numerical scheme discretizing drift–diffusion systems for semiconductors. The numerical method is finite volume in space, implicit in time, and the numerical fluxes are a generalization of the classical Scharfetter–Gummel scheme which allows to consider both linear or nonlinear pressure laws.We study the convergence of approximate solutions towards an approximation of the thermal equilibrium state as time tends to infinity, and obtain a decay rate by controlling the discrete relative entropy with the entropy production. This result is proved under assumptions of existence and uniform in time

scholarly journals Blowup threshold and collapse mass separation for a drift-diffusion system in space-dimension two

2013 ◽  
Vol 12 (6) ◽  
pp. 2627-2644 ◽  
Author(s):  
Elio E. Espejo ◽  
◽  
Masaki Kurokiba ◽  
Takashi Suzuki ◽  
◽  
...  
Keyword(s):  
Space Dimension ◽  
Diffusion System ◽  
Mass Separation ◽  
Drift Diffusion

scholarly journals On the existence of solutions for a drift-diffusion system arising in corrosion modeling

2015 ◽  
Vol 20 (1) ◽  
pp. 77-92 ◽  
Author(s):  
Claire Chainais-Hillairet ◽  
◽  
Ingrid Lacroix-Violet ◽  
Keyword(s):  
Existence Of Solutions ◽  
Diffusion System ◽  
Drift Diffusion
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