Existence and asymptotic behavior of smooth solutions to bipolar hydrodynamic model

2017 ◽  
Vol 97 (16) ◽  
pp. 2880-2892 ◽  
Author(s):  
Hongxia Guo ◽  
Huimin Yu
Keyword(s):  
Asymptotic Behavior ◽  
Hydrodynamic Model ◽  
Smooth Solutions ◽  
Bipolar Hydrodynamic Model

ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS TO THE FULL 1D HYDRODYNAMIC MODEL FOR SEMICONDUCTORS

2002 ◽  
Vol 12 (06) ◽  
pp. 777-796 ◽  
Author(s):  
LING HSIAO ◽  
SHU WANG
Keyword(s):  
Asymptotic Behavior ◽  
Boundary Value Problem ◽  
Stationary Solution ◽  
Hydrodynamic Model ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Smooth Solutions ◽  
One Dimensional ◽  
Global Smooth Solutions ◽  
Initial Boundary Value

In this paper, we study the asymptotic behavior of smooth solutions to the initial boundary value problem for the full one-dimensional hydrodynamic model for semiconductors. We prove that the solution to the problem converges to the unique stationary solution time asymptotically exponentially fast.

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