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

Lumin Qiu,Yanqiu Cheng,Ran Guo

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.