Solution to a multi-dimensional isentropic quantum drift-diffusion model for bipolar semiconductors
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 qua...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/200/abstr.html |
| Summary: | 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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| ISSN: | 1072-6691 |