Solution to a multi-dimensional isentropic quantum drift-diffusion model for bipolar semiconductors
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Date
2018-12-21
Authors
Ri, Jinmyong
Ra, Sungjin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We 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.
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Keywords
Quantum drift-diffusion, Bipolar semiconductor, Time-discretization, Mixed boundary value problem, Semiclassical limit
Citation
Ri, 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.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.