Details

Autor(en) / Beteiligte

• Hu, Haifeng

Titel

Existence and uniqueness of steady states to semiconductor bipolar full quantum hydrodynamic model

Ist Teil von

• Applicable analysis, 2023-05, Vol.102 (7), p.1841-1853

Ort / Verlag

Abingdon: Taylor & Francis

Erscheinungsjahr

2023

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper, we are concerned with the existence and uniqueness of subsonic steady states to the one-dimensional bipolar full quantum hydrodynamic model for semiconductors in a bounded interval. The main result is proved by perturbation arguments combined with Banach's Fixed Point Theorem. Moreover, we also obtain the uniform estimates of steady states with respect to the physical parameters appear in the model, which comes in useful for discussing the relaxation time limit and semi-classical limit in future study.