Large time behavior and energy relaxation time limit of the solutions to an energy transport model in semiconductors

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Abstract

In this paper, the global existence and the large time behavior of smooth solutions to the initial boundary value problem for the multi-dimensional energy transport model are studied. It is also proved that the solutions of the problem converge to an isothermal drift–diffusion model as energy relaxation time τ goes to 0 by compactness argument with the help of energy estimates and entropy inequality.

Keywords

Energy transport
Drift diffusion
Large time behavior
Energy relaxation time limit
Entropy inequality

Cited by (0)

1

Supported by the Young Scientists Funds of NSF of China (Grant No. 10401019).

2

Supported by the Special Funds of State Major Basic Research Projects (Grant No. 1999075107), the Funds of NSAF of China (Grant No. 10276036) and the Funds of NSF of China (Grant No. 10431060).