数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (2): 424-434.doi: 10.1016/S0252-9602(14)60016-3

• 论文 • 上一篇    下一篇

GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR FOR THE 3D COMPRESSIBLE NON–ISENTROPIC EULER EQUATIONS WITH DAMPING

张映辉*|吴国春   

  1. Department of Mathematics, Hu’nan Institute of Science and Technology, Yueyang 414006, China;School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China; School of Mathematical Sciences, Xiamen University, Fujian 361005, China
  • 收稿日期:2012-08-20 修回日期:2013-05-23 出版日期:2014-03-20 发布日期:2014-03-20
  • 通讯作者: 张映辉,zhangyinghui0910@126.com E-mail:zhangyinghui0910@126.com;guochunwu@126.com
  • 基金资助:

    The first author is supported by the National Natural Science Foundation of China (11301172, 11226170), China Postdoctoral Science Foundation funded project (2012M511640), and Hunan Provincial Natural Science Foundation of China (13JJ4095).

GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR FOR THE 3D COMPRESSIBLE NON–ISENTROPIC EULER EQUATIONS WITH DAMPING

 ZHANG Ying-Hui*, WU Guo-Chun   

  1. Department of Mathematics, Hu’nan Institute of Science and Technology, Yueyang 414006, China;School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China; School of Mathematical Sciences, Xiamen University, Fujian 361005, China
  • Received:2012-08-20 Revised:2013-05-23 Online:2014-03-20 Published:2014-03-20
  • Contact: ZHANG Ying-Hui,zhangyinghui0910@126.com E-mail:zhangyinghui0910@126.com;guochunwu@126.com
  • Supported by:

    The first author is supported by the National Natural Science Foundation of China (11301172, 11226170), China Postdoctoral Science Foundation funded project (2012M511640), and Hunan Provincial Natural Science Foundation of China (13JJ4095).

摘要:

We investigate the global existence and asymptotic behavior of classical solutions for the 3D compressible non-isentropic damped Euler equations on a periodic domain. The global existence and uniqueness of classical solutions are obtained when the initial data is near an equilibrium. Furthermore, the exponential convergence rates of the pressure and velocity are also proved by delicate energy methods.

关键词: Euler equations with damping, global existence, asymptotic behavior

Abstract:

We investigate the global existence and asymptotic behavior of classical solutions for the 3D compressible non-isentropic damped Euler equations on a periodic domain. The global existence and uniqueness of classical solutions are obtained when the initial data is near an equilibrium. Furthermore, the exponential convergence rates of the pressure and velocity are also proved by delicate energy methods.

Key words: Euler equations with damping, global existence, asymptotic behavior

中图分类号: 

  • 76W05