Solution to a multi-dimensional isentropic quantum drift-diffusion model for bipolar semiconductors

Simple item page
dc.contributor.authorRi, Jinmyong
dc.contributor.authorRa, Sungjin
dc.date.accessioned2022-03-11T15:56:19Z
dc.date.available2022-03-11T15:56:19Z
dc.date.issued2018-12-21
dc.description.abstractWe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationRi, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15496
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectQuantum drift-diffusion
dc.subjectBipolar semiconductor
dc.subjectTime-discretization
dc.subjectMixed boundary value problem
dc.subjectSemiclassical limit
dc.titleSolution to a multi-dimensional isentropic quantum drift-diffusion model for bipolar semiconductors
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
ri.pdf
Size:
276.81 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations