Global relaxation and nonrelativistic limit of nonisentropic Euler-Maxwell systems

被引:0
|
作者
Chao, Na [1 ]
Yang, Yongfu [1 ]
机构
[1] Hohai Univ, Coll Sci, Nanjing 211100, Peoples R China
基金
中国国家自然科学基金;
关键词
compactness and convergence; energy estimate; nonisentropic Euler-Maxwell system; uniform global-in-time smooth solution; HYDRODYNAMIC MODELS; SMOOTH SOLUTIONS; CAUCHY-PROBLEM; CONVERGENCE; EQUATIONS; HIERARCHY; EXISTENCE;
D O I
10.1002/mma.6305
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to investigate smooth solutions to Cauchy (or periodic) problem for a nonisentropic Euler-Maxwell system with small parameters. For initial data close to constant equilibrium states, we prove the global-in-time convergence of the Euler-Maxwell system as parameters go to zero. The limit systems are the drift-diffusion system and the nonisentropic Euler-Poisson system, respectively.
引用
收藏
页码:5692 / 5707
页数:16
相关论文
共 50 条
  • [41] Global existence and decay of solution for the nonisentropic Euler–Maxwell system with a nonconstant background density
    Weike Wang
    Xin Xu
    Zeitschrift für angewandte Mathematik und Physik, 2016, 67
  • [42] ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE COMPRESSIBLE BIPOLAR EULER-MAXWELL SYSTEM IN R3
    Tan, Zhong
    Wang, Yong
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2015, 13 (07) : 1683 - 1710
  • [43] Global Existence and Asymptotic Behavior of Solutions for Compressible Two-Fluid Euler-Maxwell Equation
    Binshati, Ismahan
    Hattori, Harumi
    INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 2020
  • [44] Stability of non-constant equilibrium solutions for Euler-Maxwell equations
    Peng, Yue-Jun
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2015, 103 (01): : 39 - 67
  • [45] Scaling limits of non-isentropic Euler-Maxwell equations for plasmas
    Jianwei Yang
    Qinghua Gao
    Qingnian Zhang
    Advances in Difference Equations, 2011
  • [46] Convergence of the Navier-Stokes-Maxwell system to the Euler-Maxwell system near constant equilibrium
    Li, Zongguang
    Yang, Dongcheng
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2023, 74 (03):
  • [47] Scaling limits of non-isentropic Euler-Maxwell equations for plasmas
    Yang, Jianwei
    Gao, Qinghua
    Zhang, Qingnian
    ADVANCES IN DIFFERENCE EQUATIONS, 2011,
  • [48] Global-in-time error estimates of non-relativistic limits for Euler-Maxwell system near non-constant equilibrium
    Li, Yachun
    Lu, Peng
    Zhao, Liang
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2024, 80
  • [49] The Euler-Poisswell/Darwin equation and the asymptotic hierarchy of the Euler-Maxwell equation
    Moeller, Jakob
    Mauser, Norbert J.
    ASYMPTOTIC ANALYSIS, 2023, 135 (3-4) : 525 - 543
  • [50] Stability of non-constant equilibrium solutions for two-fluid non-isentropic Euler-Maxwell systems arising in plasmas
    Feng, Yue-Hong
    Li, Xin
    Wang, Shu
    JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (07)