双极可压Euler-Maxwell方程组光滑解的整体存在性

数学季刊 ›› 2013, Vol. 28 ›› Issue (2): 274-283.

双极可压Euler-Maxwell方程组光滑解的整体存在性

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

收稿日期:2011-12-21 出版日期:2013-06-30 发布日期:2023-03-03
作者简介: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.
基金资助:
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)

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

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)

摘要/Abstract

摘要： 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.

关键词: bipolar Euler-Maxwell system, global smooth solution, Moser-type calculus inequalities

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

中图分类号:

O175

徐前进, 李新, 冯跃红. 双极可压Euler-Maxwell方程组光滑解的整体存在性[J]. 数学季刊, 2013, 28(2): 274-283.

XU Qian-jin, LI Xin, FENG Yue-hong. Global Existence of Smooth Solutions of Compressible Bipolar Euler-Maxwell Equations[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(2): 274-283.