数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (3): 806-835.doi: 10.1016/S0252-9602(17)30039-5
李杏1, 雍燕2
收稿日期:2016-02-29
出版日期:2017-06-25
发布日期:2017-06-25
作者简介:Xing LI,E-mail:lixing@szu.edu.cn;Yan YONG,E-mail:yongyan@usst.edu.cn
基金资助:Xing LI1, Yan YONG2
Received:2016-02-29
Online:2017-06-25
Published:2017-06-25
Supported by:摘要： In this article, we study the 1-dimensional bipolar quantum hydrodynamic model for semiconductors in the form of Euler-Poisson equations, which contains dispersive terms with third order derivations. We deal with this kind of model in one dimensional case for general perturbations by constructing some correction functions to delete the gaps between the original solutions and the diffusion waves in L2-space, and by using a key inequality we prove the stability of diffusion waves. As the same time, the convergence rates are also obtained.
李杏, 雍燕. LARGE TIME BEHAVIOR OF SOLUTIONS TO 1-DIMENSIONAL BIPOLAR QUANTUM HYDRODYNAMIC MODEL FOR SEMICONDUCTORS[J]. 数学物理学报(英文版), 2017, 37(3): 806-835.
Xing LI, Yan YONG. LARGE TIME BEHAVIOR OF SOLUTIONS TO 1-DIMENSIONAL BIPOLAR QUANTUM HYDRODYNAMIC MODEL FOR SEMICONDUCTORS[J]. Acta mathematica scientia,Series B, 2017, 37(3): 806-835.
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