Large Time Behavior of Multi-Dimensional Unipolar Hydrodynamic Model of Semiconductor

Research Article

Lumin Qiu,Yanqiu Cheng,Ran Guo

Abstract

In this paper, we are concerned with the large time behavior of weak entropy solutions to the multi-dimensional unipolar hydrodynamic model of semiconductor with insulating boundary conditions and non-zero doping profile. For any space dimension, we prove the solutions converge to the stationary solutions exponentially in time. No smallness conditions are assumed.

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