scholarly journals On a steady-state quantum hydrodynamic model for semiconductors

1996 ◽  
Vol 26 (4) ◽  
pp. 845-856 ◽  
Author(s):  
Bo Zhang ◽  
Joseph W. Jerome
Keyword(s):  
Steady State ◽  
Hydrodynamic Model ◽  
Quantum Hydrodynamic Model ◽  
Quantum Hydrodynamic

STEADY-STATE SOLUTIONS AND ASYMPTOTIC LIMITS ON THE MULTI-DIMENSIONAL SEMICONDUCTOR QUANTUM HYDRODYNAMIC MODEL

2007 ◽  
Vol 17 (02) ◽  
pp. 253-275 ◽  
Author(s):  
BO LIANG ◽  
KAIJUN ZHANG
Keyword(s):  
Relaxation Time ◽  
Steady State ◽  
Hydrodynamic Model ◽  
Planck Constant ◽  
Quantum Hydrodynamic Model ◽  
Uniqueness Results ◽  
Qhd Model ◽  
Quantum Hydrodynamic ◽  
Dispersive Limit ◽  
Steady State Solutions

In this paper we study the steady-state quantum hydrodynamic model for semiconductors. The existence of solutions on the bipolar QHD model is obtained in the case of sufficiently small relaxation time. Uniqueness results are showed both in the thermal equilibrium states and the scaled Planck constant being large enough. The relaxation time and dispersive limit are performed on the bipolar and unipolar equations, respectively. In a sense, we have made a complete answer to the original unsolved problems of the steady-state QHD model.

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