Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (6): 1041-1049.

• Articles • Previous Articles     Next Articles

Existence of the Global Smooth Solution to the Periodic Problem of Bipolar Euler-Maxwell System on the Torus

 WANG Shu1, FENG Yue-Hong1, LI Xin2   

  1. 1.College of Applied Sciences, Beijing University of Technology, Beijing 100124;
    2.Department of Mathematics and Computer Science, Xinyang Vocational and Technical College, Henan Xinyang 464000
  • Received:2011-06-29 Revised:2012-07-15 Online:2012-12-25 Published:2012-12-25
  • Supported by:

    国家自然科学基金(11071009)、北京市科技发展计划重点项目(KZ201210005005)、河南省青年骨干教师项目(2011GGJS-210)、河南省科技发展计划(112300410251)和北京工业大学研究生科技基金资助

Abstract:

Euler-Maxwell system is an important model arising from plasma physics. We investigate the global existence of the smooth periodic solutions to the compressible isentropic Bipolar Euler-Maxwell system with adiabatic exponent γ = 3. With the help of energy methods, the global existence of smooth solutions is established with initial value small.

Key words: Compressible Bipolar Euler-Maxwell system, Global smooth solution, Plasma

CLC Number: 

  • 35A01
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