scholarly journals Polynomial propagation of moments and global existence for a Vlasov–Poisson system with a point charge

2015 ◽  
Vol 32 (2) ◽  
pp. 373-400 ◽  
Author(s):  
Laurent Desvillettes ◽  
Evelyne Miot ◽  
Chiara Saffirio
Keyword(s):  
Global Existence ◽  
Point Charge ◽  
Poisson System

GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR FOR A SEMICONDUCTOR DRIFT-DIFFUSION-POISSON MODEL

2008 ◽  
Vol 18 (03) ◽  
pp. 443-487 ◽  
Author(s):  
HAO WU ◽  
PETER A. MARKOWICH ◽  
SONGMU ZHENG
Keyword(s):  
Global Existence ◽  
Existence And Uniqueness ◽  
Poisson Model ◽  
Stationary Problem ◽  
Time Dependent ◽  
Unique Equilibrium ◽  
Poisson System ◽  
Drift Diffusion ◽  
Global Existence And Uniqueness ◽  
Time Dependent Problem

In this paper a time-dependent as well as a stationary drift-diffusion-Poisson system for semiconductors are studied. Global existence and uniqueness of weak solution of the time-dependent problem are proven and we also prove the existence and uniqueness of the steady state. It is shown that as time tends to infinity, the solution of the time-dependent problem will converge to a unique equilibrium. Due to the presence of recombination-generation rate R in our drift-diffusion-Poisson model, the work of this paper in some sense extends the results in the previous literature (on both time-dependent problem and stationary problem).

SOME ASYMPTOTICS FOR A REACTIVE NAVIER–STOKES–POISSON SYSTEM

1999 ◽  
Vol 09 (07) ◽  
pp. 1039-1076 ◽  
Author(s):  
B. DUCOMET
Keyword(s):  
Global Existence ◽  
Global Solution ◽  
Spherical Model ◽  
Navier Stokes ◽  
Positive Energy ◽  
Stability Of Solutions ◽  
Poisson System ◽  
Rigid Core ◽  
Existence And Stability

We prove global existence and stability of solutions for a spherical model of reactive compressible self-gravitating fluid when a rigid core is present. In the absence of core, we show that no global solution of positive energy can exist.

scholarly journals On global existence of classical solutions for the Vlasov-Poisson system in convex bounded domains

2013 ◽  
Vol 33 (2) ◽  
pp. 723-737 ◽  
Author(s):  
Hyung Ju Hwang ◽  
◽  
Jaewoo Jung ◽  
Juan J. L. Velázquez ◽  
◽  
...  
Keyword(s):  
Global Existence ◽  
Classical Solutions ◽  
Bounded Domains ◽  
Poisson System
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