A one-dimensional quantum hydrodynamic model (or quantum Euler-Poisson system) for semiconductors with initial boundary conditions is considered for general pressure-density function. The existence and uniqueness of the classical solution of the corresponding steady-state quantum hydrodynamic equations is proved. Furthermore, the global existence of classical solution, when the initial datum is a perturbation of the steady-state solution, is obtained. This solution tends to the corresponding steady-state solution exponentially fast as the time tends to infinity. © 2006 Wuhan Institute of Physics and Mathematics.
CITATION STYLE
Jia, Y., & Li, H. (2006). LARGE-TIME BEHAVIOR OF SOLUTIONS OF QUANTUM HYDRODYNAMIC MODEL FOR SEMICONDUCTORS1. Acta Mathematica Scientia, 26(1), 163–178. https://doi.org/10.1016/S0252-9602(06)60038-6
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