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
  • [41] LONG-TIME BEHAVIOR OF SOLUTIONS TO THE NON-ISENTROPIC EULER-POISSON SYSTEM IN R3
    Wu, Yunshun
    Tan, Zhong
    Wang, Yong
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2017, 15 (07) : 1947 - 1965
  • [42] Structural Stability of Supersonic Solutions to the Euler-Poisson System
    Bae, Myoungjean
    Duan, Ben
    Xiao, Jingjing
    Xie, Chunjing
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021, 239 (02) : 679 - 731
  • [43] TRANSONIC SHOCK SOLUTIONS FOR A SYSTEM OF EULER-POISSON EQUATIONS
    Luo, Tao
    Xin, Zhouping
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2012, 10 (02) : 419 - 462
  • [44] Quasi-Neutral Limit for Euler-Poisson System
    M. Slemrod
    N. Sternberg
    Journal of Nonlinear Science, 2001, 11 : 193 - 209
  • [45] Global Smooth Ion Dynamics in the Euler-Poisson System
    Yan Guo
    Benoit Pausader
    Communications in Mathematical Physics, 2011, 303 : 89 - 125
  • [46] On approximate solutions to the Euler-Poisson system with boundary layers
    Jung, Chang-Yeol
    Kwon, Bongsuk
    Suzuki, Masahiro
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 96
  • [47] Absence of Shocks for One Dimensional Euler-Poisson System
    Guo, Yan
    Han, Lijia
    Zhang, Jingjun
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2017, 223 (03) : 1057 - 1121
  • [48] Global Existence for the N Body Euler-Poisson System
    Parmeshwar, Shrish
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 244 (02) : 157 - 208
  • [49] Formation of singularities in the Euler and Euler-Poisson equations
    Engelberg, S
    PHYSICA D, 1996, 98 (01): : 67 - 74
  • [50] Smooth irrotational flows in the large to the Euler-Poisson system in R3+1
    Guo, Y
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 195 (02) : 249 - 265