Large time behavior of Euler-Poisson system for semiconductor

被引:0
|
作者
FeiMin Huang
RongHua Pan
HuiMin Yu
机构
[1] Chinese Academy of Sciences,Institute of Applied Mathematics, Acadeny of Mathematics and Systems Science
[2] Georgia Institute of Technology,School of Mathematics
来源
关键词
large time behavior; Euler-Possion system; semiconductor; entropy; 35M20; 35Q35; 76W05;
D O I
暂无
中图分类号
学科分类号
摘要
In this note, we present a framework for the large time behavior of general uniformly bounded weak entropy solutions to the Cauchy problem of Euler-Poisson system of semiconductor devices. It is shown that the solutions converges to the stationary solutions exponentially in time. No smallness and regularity conditions are assumed.
引用
收藏
页码:965 / 972
页数:7
相关论文
共 50 条
  • [1] Large time behavior of Euler-Poisson system for semiconductor
    Huang FeiMin
    Pan RongHua
    Yu HuiMin
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 51 (05): : 965 - 972
  • [2] Large time behavior of Euler-Poisson system for semiconductor
    HUANG FeiMin~(1+) PAN RongHua~2 YU HuiMin~1 1 Institute of Applied Mathematics
    2 School of Mathematics
    ScienceinChina(SeriesA:Mathematics), 2008, (05) : 965 - 972
  • [3] Large time behavior of the Euler-Poisson system coupled to a magnetic field
    Chen, Yingying
    Huang, Lan
    Yang, Jianwei
    AIMS MATHEMATICS, 2023, 8 (05): : 11460 - 11479
  • [4] Large-time behavior of solutions to the time-dependent damped bipolar Euler-Poisson system
    Wu, Qiwei
    Zheng, Junzhi
    Luan, Liping
    APPLICABLE ANALYSIS, 2023, 102 (04) : 989 - 1006
  • [5] LARGE-TIME BEHAVIOR OF THE FULL COMPRESSIBLE EULER-POISSON SYSTEM WITHOUT THE TEMPERATURE DAMPING
    Tan, Zhong
    Wang, Yong
    Xu, Fanhui
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (03) : 1583 - 1601
  • [6] Large time behavior of Euler-Poisson equations for isothermal fluids with spherical symmetry
    Yu, Huimin
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 363 (01) : 302 - 309
  • [7] On the large-time behavior of Euler-Poisson/Navier-Stokes equations
    Choi, Young-Pil
    Jung, Jinwook
    APPLIED MATHEMATICS LETTERS, 2021, 118
  • [8] The global existence and large time behavior of solutions to the multidimensional Euler-Poisson equations
    Hsiao, L
    Ju, QC
    Wang, S
    HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, 2003, : 599 - 609
  • [9] Global Existence and Large Time Behavior of Solutions to the Bipolar Nonisentropic Euler-Poisson Equations
    Chen, Min
    Wang, Yiyou
    Li, Yeping
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [10] An Euler-Poisson system in plasmas
    Nouri, A
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 2000, 41 : 442 - 450