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Time‐periodic flows of electrons and holes in semiconductor devices
Ist Teil von
Mathematical methods in the applied sciences, 2022-07, Vol.45 (10), p.6096-6130
Ort / Verlag
Freiburg: Wiley Subscription Services, Inc
Erscheinungsjahr
2022
Link zum Volltext
Quelle
Wiley Online Library
Beschreibungen/Notizen
The main purpose of this paper is mathematical analysis on time‐periodic flows of electrons and holes in semiconductors. The flows appear in a situation that alternating‐current voltages are applied to devices. In this paper, we study the drift‐diffusion model for semiconductors in a three‐dimensional bounded domain and investigate the existence and stability of time‐periodic solutions. We first derive uniform‐in‐time estimates of time‐global solutions and then prove by the relative entropy method that the difference of any two solutions decays exponentially fast as time tends to infinity. These facts enable us to show the unique existence and global stability of time‐periodic solutions.