Acta mathematica scientia,Series B
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Jia Yueling; Li Hailiang
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Abstract:
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.
Key words: Quantum hydrodynamic equation, quantum Euler-Poisson system, global existence of classical solution, nonlinear fourth-order wave equation, exponential decay, large-time behavior
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Jia Yueling; Li Hailiang. LARGE-TIME BEHAVIOR OF SOLUTIONS OF QUANTUM HYDRODYNAMIC MODEL FOR SEMICONDUCTORS[J].Acta mathematica scientia,Series B, 2006, 26(1): 163-178.
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URL: http://121.43.60.238/sxwlxbB/EN/10.1016/S0252-9602(06)60038-6
http://121.43.60.238/sxwlxbB/EN/Y2006/V26/I1/163
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