LARGE TIME BEHAVIOR OF SOLUTIONS TO 1-DIMENSIONAL BIPOLAR QUANTUM HYDRODYNAMIC MODEL FOR SEMICONDUCTORS

被引：4

作者：

Li, Xing ^{[1
]}

Yong, Yan ^{[2
]}

机构：

[1] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China

[2] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2017年 / 37卷 / 03期

关键词：

Bipolar quantum hydrodynamic; diffusion waves; semiconductor; Euler-Poisson euqations; asymptotic behavior; NONLINEAR DIFFUSION WAVES; HYPERBOLIC CONSERVATION-LAWS; EULER-POISSON EQUATIONS; P-SYSTEM; ASYMPTOTIC-BEHAVIOR; CONVERGENCE-RATES; RELAXATION; STABILITY; BOUNDARY; LIMIT;

D O I：

10.1016/S0252-9602(17)30039-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 L-2-space, and by using' a key inequality we prove the stability of diffusion waves. As the same time, the convergence rates are also obtained.

引用

页码：806 / 835

页数：30

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