期刊文献+

弱耗散的广义Camassa-Holm方程整体吸引子 被引量:1

The Global Attractor for Generalized Cammasa-Holm Equation with Weak Dissipation
下载PDF
导出
摘要 在一定边界条件下研究一类新的带弱耗散项的色散水波方程的动力学行为,获得其整体解及整体吸引子的存在. The dynamical behavior of generalized Cammasa-Holm equation with weak dissipation: under the periodic boundary conditions are investigated.And the existence of the global solution and the general attractor is obtained.
出处 《西南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第1期62-65,共4页 Journal of Southwest China Normal University(Natural Science Edition)
基金 江苏省高校自然科学研究计划(05KJB110018) 江苏大学高级人才基金资助项目(07JDG024)
关键词 CAMASSA-HOLM方程 整体解 整体吸引子 Camassa-Holm Equation global solution global attractors
  • 相关文献

参考文献3

二级参考文献13

  • 1Constantin A, Escher J. Global Existence and Blow-up for a Shallow Water Equation. Ann. Scuola Norm, SUP. Pisacl. Sci., 1998, XXVI(4): 303-328 被引量:1
  • 2Temam R. Infinite Dimensional Dynamical Systems in Mechanics and Physics. Applied Mathematical Sciences, Vol.68, Berlin: Springer-Verlag, 1988 被引量:1
  • 3Danchin R. A Few Remarks on the Camassa-Holm Equation. Differential and Integral Equation,2001, 14(8): 953-988 被引量:1
  • 4Camassa R, Holm D. An Integrable Shallow Water Equation with Peaked Solitons. Phys. Rev. Lett.,1993, 71(11): 1661-1664 被引量:1
  • 5Vukadinovic J. On the Backwards Behavior of the Solutions of the 2D Periodic Viscous Camassa-Holm Equation. Journal of Dynamics and Differential Equations, 2002, 14(1): 37-62 被引量:1
  • 6Fois C, Holm D, Titi S. The Three Dimensional Viscous Camassa-Holm Equations, and Their Relation to the Navier-Stokes Equations and Turbulence Theory. Journal of Dynamics and Differential Equations, 2002, 14(1): 1-35 被引量:1
  • 7郭柏灵,无穷维动力系统(上).北京:国防工业出版社,2000(Guo Boling. Infinite Dimensional Dynamiocal Systems. Beijing: Defense industry Press, 2000 被引量:1
  • 8Constaintin A, Escher J. Global existence and blow-up for a shallow water equation. Annali Sci Norm Sup Pisa, 1998, 26:303-328 被引量:1
  • 9Constaintin A, Escher. J. Global weak solutions for a shallow water equation. Indiana Uinv Math J, 1998,47:1527-1545 被引量:1
  • 10Rodriguez-Blanco G. On the cauchy problem for the Camassa-Holm equation. Nonlinaer Analysis, 2001,46:309-327 被引量:1

共引文献13

同被引文献2

引证文献1

二级引证文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部