期刊文献+

一类多维非齐次GBBM方程初边值问题解的长时间行为 被引量:5

Long Time Behavior for the Solution of the Initial-Boundary Value Problem of One Class of Systems With Multidimensional Inhomogeneous GBBM Equations
下载PDF
导出
摘要  研究一类多维非齐次广义Benjamin_Bona_Mahony(GBBM)方程的初值边界问题,利用Sobolev插值不等式,做关于时间的一致性先验估计。 The following initial_boundary value problem for the systems with multidimensional inhomogeneous generalized Benjamin_Bona_Mahony(GBBM) equations is reviewed. The existence of global attractors of this problem was proved by means of a uniform a priori estimate for time.
出处 《应用数学和力学》 CSCD 北大核心 2005年第6期659-664,共6页 Applied Mathematics and Mechanics
基金 国家自然科学基金资助项目(10471050) 广东省自然科学基金资助项目(031495)
关键词 多维GBBM方程 先验估计 整体吸引子 multidimensional GBBM equation a apriori estimate global attractor
  • 相关文献

参考文献5

  • 1GUO Bo-ling. Initial boundary value problem for one class of system of multidimensional inhomogeneous GBBM equations[ J]. Chinese Ann Math,Ser B, 1987,8(2):226-238.
  • 2GUO Bo-ling. The global solutions of some problems for a system of equations of Schrodinger-Klein Gordon field[ J]. Scientia Sinica, Ser A, 1982,25(3): 898-901.
  • 3Temam R. Infinite Dimensional Dynamical Systems in Mechanics and Physics [ M ]. Berlin:Springer-Verlag, 1988.
  • 4Constanntin P, Foias C, Temam R. Attractors respresenting turbulent flows [ J ]. Mem Amer Math Soc, 1985, (353) :364.
  • 5Babin A V, Vishik M I. Attractors of partial differential equations and estimate of their dimension[ J].Uspekhi Math Nauk, 1983,38: 133-187.

同被引文献12

引证文献5

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