Large-time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in the half space

2021 ◽  
pp. 125899
Author(s):  
Qiwei Wu ◽  
Yeping Li ◽  
Rui Xu
Keyword(s):  
Half Space ◽  
Large Time ◽  
Large Time Behavior ◽  
Time Dependent ◽  
Time Behavior ◽  
Poisson Equations

scholarly journals Global Existence and Large Time Behavior of Solutions to the Bipolar Nonisentropic Euler-Poisson Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-13
Author(s):  
Min Chen ◽  
Yiyou Wang ◽  
Yeping Li
Keyword(s):  
Large Time ◽  
Large Time Behavior ◽  
Negative Ion ◽  
Initial Mass ◽  
Far Field ◽  
Time Behavior ◽  
Poisson Equations ◽  
Global Smooth Solutions ◽  
The Difference ◽  
The One

We study the one-dimensional bipolar nonisentropic Euler-Poisson equations which can model various physical phenomena, such as the propagation of electron and hole in submicron semiconductor devices, the propagation of positive ion and negative ion in plasmas, and the biological transport of ions for channel proteins. We show the existence and large time behavior of global smooth solutions for the initial value problem, when the difference of two particles’ initial mass is nonzero, and the far field of two particles’ initial temperatures is not the ambient device temperature. This result improves that of Y.-P. Li, for the case that the difference of two particles’ initial mass is zero, and the far field of the initial temperature is the ambient device temperature.

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