Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (2): 445-453.

• Articles • Previous Articles     Next Articles

Regularity and Global Attractor of Nonlinear Elastic Rod Oscillation Equation

 MA Wen-Jun, MA Qiao-Zhen*, GAO Pei-Ming   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070
  • Received:2012-05-16 Revised:2013-03-15 Online:2014-04-25 Published:2014-04-25
  • Contact: MA Qiao-Zhen,maqzh@nwnu.edu.cn E-mail:mawenjun.0222@163.com; maqzh@nwnu.edu.cn
  • Supported by:

    国家自然科学基金(11101334)、甘肃省自然科学基金(1107RJZA223)和甘肃高校基本科研业务费资助.

Abstract:

In this paper, we establish the regularity of nonlinear elastic rod oscillation equation. Furthermore, the existence of (H10(Ω)×H10(Ω), (H2(Ω)∩H10(Ω))×(H2(Ω)∩H10(Ω))) global attractor is proved.

Key words: Nonlinear elastic rod oscillation equations, Global attractor, Regularity

CLC Number: 

  • 35B40
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