Search Advanced

AIMS Mathematics

2017, Volume 2, Issue 1: 102-110. doi: 10.3934/Math.2017.1.102
Previous Article Next Article
Research article

Large time behavior framework for the time-increasing weak solutions of bipolar hydrodynamic model of semiconductors

  • Department of Mathematics, Shandong Normal University, Jinan, 250014, China
  • Received: 05 December 2016 Accepted: 15 January 2017 Published: 09 December 2016

  • In this paper, we consider an isentropic Euler-Poisson equations for the bipolar hydrody- namic model of semiconductor devices, which has a non-flat doping profile and insulating boundary conditions. Using a technical energy method and an entropy dissipation estimate, we present a frame- work for the large time behavior of time-increasing weak entropy solutions. It is shown that the weak solutions converge to the stationary solutions in L2 norm with exponential decay rate. No regularity and smallness conditions are assumed.

    Citation: Shang Mengmeng. Large time behavior framework for the time-increasing weak solutions of bipolar hydrodynamic model of semiconductors[J]. AIMS Mathematics, 2017, 2(1): 102-110. doi: 10.3934/Math.2017.1.102

    Related Papers:

  • In this paper, we consider an isentropic Euler-Poisson equations for the bipolar hydrody- namic model of semiconductor devices, which has a non-flat doping profile and insulating boundary conditions. Using a technical energy method and an entropy dissipation estimate, we present a frame- work for the large time behavior of time-increasing weak entropy solutions. It is shown that the weak solutions converge to the stationary solutions in L2 norm with exponential decay rate. No regularity and smallness conditions are assumed.


    加载中
    [1] F. Huang, R. Pan, H. Yu, Large time behavior of Euler-Possion system for semiconductor. Science in Chian Series A., 51 (2008), 965-972.
    [2] L. Hsiao, K.J. Zhang, The relaxation of the hydrodynamic model for semiconducts to the drift- diffusion equations, J. Differential Equations., 165 (2000), 315-354.
    [3] J. Li, H. Yu, Large time behavior of solutions to a bipolar hydrodynamic model with big data and vacuum, Nonlinear Analysis: Real world applications, 34 (2017), 446-458.
    [4] P. Marcati, R. Natalini, Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation, Arch. Ration. Mech., 129 (1995), 129-145.
    [5] H. Yu, On the stationary solutions of multi-dimensional bipolar hydrodynamic model of semicon- ductors, Appl. Math. Lett., 64 (2007), 108-112.
    [6] H. Yu, Large time behavior of entropy solution to a unipolar hydropynamic model of semiconduc- tors, Commun. Math. Sci., 14 (2016), 69-82.
    [7] B. Zhang, Convergence of Godunov scheme for a simplified one-dimensional hydrodynamic model for semiconductor devices, Comm. Math. Phys., 157 (1993), 1-22.
  • Reader Comments
  • © 2017 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索
AIMS Mathematics
1.8 3.4

Metrics

Article views(4410) PDF downloads(1207) Cited by(0)

Preview PDF
Download XML
Export Citation
Article outline

Other Articles By Authors

Related pages

Tools

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog