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- Title
SOLUTION TO A MULTI-DIMENSIONAL ISENTROPIC QUANTUM DRIFT-DIFFUSION MODEL FOR BIPOLAR SEMICONDUCTORS.
- Authors
JINMYONG RI; SUNGJIN RA
- 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.
- Subjects
SOLID solutions; PLEISTOCENE stratigraphic geology; PACKED towers (Chemical engineering); SEMICONDUCTOR wafers; ELECTRONIC materials
- Publication
Electronic Journal of Differential Equations, 2018, Vol 2018, Issue 158-200, p1
- ISSN
1550-6150
- Publication type
Article