The zero-electron-mass limit for a stationary nonisentropic hydrodynamic semiconductor model |
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Authors: | Yeping Li Jizhou Zhang |
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Affiliation: | Department of Mathematics, Shanghai Normal University, Shanghai 200234, China |
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Abstract: | In this paper, we study a general multidimensional nonisentropic hydrodynamical model for semiconductors. The model is self-consistent in the sense that the electric field, which forms a forcing term in the momentum equation, is determined by the coupled Poisson equation. For steady state, subsonic and potential flows, we discuss the zero-electron-mass limit of system by using the method of asymptotic expansions. We show the existence and uniqueness of profiles, and justify the asymptotic expansions up to any order. |
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Keywords: | Zero-electron-mass limit Subsonic and potential flow Semiconductors Asymptotic expansion Energy estimates |
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