THE WELL-POSEDNESS AND ASYMPTOTICS OF MULTI-DIMENSIONAL QUANTUM HYDRODYNAMICS

doi:10.1016/S0252-9602(09)60053-9

Abstract

Abstract:

The multi-dimensional quantum hydrodynamic equations for charge transport in ultra-small electronic devices like semiconductors, where quantum effects (like particle tunnelling through potential barriers and built-up in quantum wells) take place, is considered in the present paper, and the recent progress on well-posedness, stability analysis, and small scaling limits are reviewed.

Key words: quantum hydrodynamics, well-posedness, longtime behavior, small scale limit

CLC Number:

35A07

Hsiao Ling,Li Hailiang. THE WELL-POSEDNESS AND ASYMPTOTICS OF MULTI-DIMENSIONAL QUANTUM HYDRODYNAMICS[J].Acta mathematica scientia,Series B, 2009, 29(3): 552-568.

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THE WELL-POSEDNESS AND ASYMPTOTICS OF MULTI-DIMENSIONAL QUANTUM HYDRODYNAMICS

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