Fang, WeifuIto, Kazufumi2019-11-122019-11-121999-05-10Fang, W., & Ito, K. (1999). Solutions to a nonlinear drift-diffusion model for semiconductors. <i>Electronic Journal of Differential Equations, 1999</i>(15), pp. 1-38.1072-6691https://hdl.handle.net/10877/8800A nonlinear drift-diffusion model for semiconductors is analyzed to show the existence of non-vacuum global solutions and stationary solutions. The long time behavior of the solutions is studied by establishing the existence of an absorbing set and a compact attractor of the dynamical system. Parallel results on vacuum solutions are also obtained under weaker conditions on model parameters.Text39 pages1 file (.pdf)enAttribution 4.0 InternationalDrift-diffusion modelSemiconductorsNonlinear diffusionDegenerated parabolic and elliptical equationsAttractorsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.