Mathematica Eterna
Open Access

Abstract

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

Yanqiu Cheng* and 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.

Published Date: 2019-10-22; Received Date: 2019-05-03