期刊文献+

粘性Cahn-Hilliard方程全局吸引子的存在性 被引量:6

Existence of global attractor for the viscous Cahn-Hilliard equation
下载PDF
导出
摘要 研究粘性Cahn-Hilliard方程的全局吸引子.首先得到其存在有界吸收集,然后采用一种新的验证紧性方法得到全局吸引子的存在性. The existence of attractor of the viscous Cahn-Hilliard equation was investigated. Firstly, the existence of bounded absorbing set was given, then global attractor was obtained by a new method of obtaining the compactness.
出处 《湖北大学学报(自然科学版)》 CAS 2014年第4期385-388,共4页 Journal of Hubei University:Natural Science
基金 陕西省自然科学基础研究计划项目(2012JM1012) 延安大学研究生教育创新计划项目资助
关键词 粘性Cahn-Hilliard方程 吸收集 全局吸引子 viscous Cahn-Hilliard equation absorbing set global attractor
  • 相关文献

参考文献3

二级参考文献16

  • 1付一平,郭柏灵.ALMOST PERIODIC SOLUTION OF ONE DIMENSIONAL VISCOUS CAMASSA-HOLM EQUATION[J].Acta Mathematica Scientia,2007,27(1):117-124. 被引量:4
  • 2CHEPYZHOV V V, VISHIK M I. Attractors for equations of mathematical physics[M]. Providence: American Mathematical Society, 2002: 77-128.
  • 3HALE J K. Asymptotic behavior of dissipative systems[M]. Providence: American Mathematical Society, 1988: 1-66.
  • 4ROBINSON J C. Infinite dimensional dynamical systems: an introduction to dissipative parabolic PDEs and the theory of global attractors[M]. Cambridge: Cambridge University Press, 2001: 159-323.
  • 5TEMAM R. Infinite dimensional dynamical systems in mechanics and physics[M]. Berlin: Springer- Verlag, 1997: 1-305.
  • 6Lu Song-song, Wu Hong-qing, ZHONG Cheng-kui. Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces[J]. Discrete Contin Dyn Syst, 2005, 13(3): 701-719.
  • 7MA Qing-feng, WANG Shou-hong, ZHONG Cheng-kui. Necessary and sufficient conditions for the existence of global attractors for semigroups and applications[J]. Indiana Univ Math J, 2002(51): 1 541-1 559.
  • 8AIFANTIS E C. On the problem of diffusion in solids[J]. Acta Mach, 1980, 37(3/4): 265-296.
  • 9WANG Su-yun, LI De-sheng, ZHONG Cheng-kui. On the dynamics of a class of nonclassical parabolic equations[J]. J Math Anal Appl, 2006, 317: 565-582.
  • 10Novick-Cohen, A., On the viscous Cahn-Hilliard equation, in: Material Instabilities in Continuum Mechanics and Related Mathematical Problems, Ball, J. ed., Oxford Science Publications,Clarendon Press, Oxford, 1988, pp. 329-342.

共引文献5

同被引文献22

引证文献6

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