Large time behavior and energy relaxation time limit of the solutions to an energy transport model in semiconductors |
| |
| Authors: | Li Chen Ling Hsiao Yong Li |
| |
| Institution: | 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 |
| 本文献已被 ScienceDirect 等数据库收录！ |
