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Large time behavior and energy relaxation time limit of the solutions to an energy transport model in semiconductors |
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| Authors: | Li Chen Ling Hsiao Yong Li |
| Affiliation: | a Department of Mathematical Sciences, Tsinghua University, Beijing 100084, PR China b Academy of Mathematics and System Sciences, CAS, Beijing 100080, PR China |
| 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 |
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