Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (2): 274-283.

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Global Existence of Smooth Solutions of Compressible Bipolar Euler-Maxwell Equations

  

  1. 1. Public Basic Education Ministry, Henan Vocational and Technical College of Communications 2. Department of Mathematics and Computer Science, Xinyang Vocational and Technical College 3. College of Applied Sciences, Beijing University of Technology

  • Received:2011-12-21 Online:2013-06-30 Published:2023-03-03
  • About author:XU Qian-jin(1966-), male, native of Zhengzhou, Henan, a lecturer of Henan Vocational and Technical College of Communications, engages in partial differential equation; LI Xin(1981-), female, native of Xinyang, Henan, a lecturer of Xinyang Vocational and Technical College, engages in partial differential equation; FENG Yue-hong(1980-), male, native of Xuchang, Henan, a doctor of Beijing University of Technology, engages in partial differential equation.
  • Supported by:
    Supported by the Foundation Project of Doctor Graduate Student Innovation of Beijing University of Technology(ykj-2012-6724); Supported by the NSFC(10771009); Supported by the BSF(1082001)

Abstract: The bipolar compressible Euler-Maxwell equations as a fluid dynamic model arising from plasma physics to describe the dynamics of the compressible electrons and ions is investigated. This work is concerned with three-dimensional Euler-Maxwell equations with smooth periodic solutions. With the help of the symmetry operator techniques and energy method, the global smooth solution with small amplitude is constructed around a constant equilibrium solution with asymptotic stability property.

Key words: bipolar Euler-Maxwell system, global smooth solution, Moser-type calculus inequalities

CLC Number: