SOLUTION TO A MULTI-DIMENSIONAL ISENTROPIC QUANTUM DRIFT-DIFFUSION MODEL FOR BIPOLAR SEMICONDUCTORS

被引：0

作者：

Ri, Jinmyong ^{[1
]}

Ra, Sungjin ^{[2
]}

机构：

[1] State Acad Sci, Inst Math, Pyongyang, South Korea

[2] Univ Sci, Dept Math, Pyongyang, South Korea

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年

关键词：

Quantum drift-diffusion; bipolar semiconductor; time-discretization; mixed boundary value problem; semiclassical limit; LONG-TIME BEHAVIOR; 4TH-ORDER PARABOLIC EQUATION; SEMICLASSICAL LIMIT; WEAK SOLUTION; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：19

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