QUANTUM EULER-POISSON SYSTEM： LOCAL EXISTENCE OF SOLUTIONS

2003Acta Scientiarum Naturalium Universitatis SunyatseniMathematics被引 1

摘要

The one-dimensional transient quantum Euler-Poisson system for semiconductors is studied in a bounded interval. The quantum correction can be interpreted as a dispersive regularization of the classical hydrodynamic equations and mechanical effects. The existence and uniqueness of local-in-time solutions are proved with lower regularity and without the restriction on the smallness of velocity, where the pressure-density is general (can be non-convex or non-monotone).

引用本文（GB/T 7714）

HaoChengchun, JiaYueling, LiHailiang. QUANTUM EULER-POISSON SYSTEM： LOCAL EXISTENCE OF SOLUTIONS[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2003.

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