Electron. J. Differential Equations,
Vol. 2018 (2018), No. 200, pp. 119.
Solution to a multidimensional isentropic
quantum driftdiffusion model for bipolar semiconductors
Jinmyong Ri, Sungjin Ra
Abstract:
We study the existence of weak solution and semiclassical limit for mixed
DirichletNeumann boundary value problem of
1,2,3dimensional isentropic transient quantum
driftdiffusion models for bipolar semiconductors.
A timediscrete approximate scheme for the model constructed employing
the quantum quasiFermi potential is composed of nondegenerate
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.
Submitted January 12, 2016. Published December 21, 2018.
Math Subject Classifications: 35A01, 35D30, 35J25, 35K35.
Key Words: Quantum driftdiffusion; bipolar semiconductor; timediscretization;
mixed boundary value problem; semiclassical limit.
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Jinmyong Ri
Institute of Mathematics
State Academy of Sciences
Pyongyang, Korea
email: jmri2015@163.com


Sungjin Ra
Department of Mathematics
University of Science
Pyongyang, Korea
email: math.inst@starco.net.kp

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