Ri, JinmyongRa, Sungjin2022-03-112022-03-112018-12-21Ri, J., & Ra, S. (2018). Solution to a multi-dimensional isentropic quantum drift-diffusion model for bipolar semiconductors. <i>Electronic Journal of Differential Equations, 2018</i>(200), pp. 1-19.1072-6691https://hdl.handle.net/10877/15496We study the existence of weak solution and semiclassical limit for mixed Dirichlet-Neumann boundary value problem of 1,2,3-dimensional isentropic transient quantum drift-diffusion models for bipolar semiconductors. A time-discrete approximate scheme for the model constructed employing the quantum quasi-Fermi potential is composed of non-degenerate elliptic systems, and the system in each time step has a solution in which the components of carrier's densities are strictly positive. Some stability estimates guarantee convergence of the approximate solutions and performance of the semiclassical limit.Text19 pages1 file (.pdf)enAttribution 4.0 InternationalQuantum drift-diffusionBipolar semiconductorTime-discretizationMixed boundary value problemSemiclassical limitArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.