Existence of global attractor for the one-dimensional bipolar quantum drift-diffusion model

• DOI: 10.1007/s11859-017-1247-0
• Publication Date: 2017-07-14T13:12:48Z
• Authors: Yannan Liu; Wenlong Sun; Yeping Li
• Keywords: 0101 mathematics; 01 natural sciences

In this paper, we investigate a one-dimensional bipolar quantum drift-diffusion model from semiconductor devices. We mainly show the long-time behavior of solutions to the one-dimensional bipolar quantum drift-diffusion model in a bounded domain. That is, we prove the existence of the global attractor for the solution.