The semiclassical limit in the quantum drift-diffusion model

Authors
Ju, Qiang Chang
Citation
Ju, Qiang Chang, The semiclassical limit in the quantum drift-diffusion model, Acta mathematica Sinica. English series (Print) , 25(2), 2009, pp. 253-264
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
25
Issue
2
Year of publication
2009
Pages
253 - 264
Database
ACNP
SICI code
Abstract
Semiclassical limit to the solution of isentropic quantum drift-diffusion model in semiconductor simulation is discussed. It is proved that the semiclassical limit of this solution satisfies the classical drift-diffusion model. In addition, we also proved the global existence of weak solutions.