Finite dimensional behavior for forced nonlinear Sobolev-Galpern equations

被引：2
作者：
Shang Y.-D. [1 ]
Guo B.-L. [2 ]
机构：
[1] Department of Mathematics, Guangzhou University
[2] Institute of Applied Physics and Computational Mathematics, Beijing 100088
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2004年 / 20卷 / 2期
基金：
中国国家自然科学基金;
关键词：
Asymptotic behavior; Energy equation; Global attractor; Nonlinear Sobolev-Galpern equations; Weak continuity;
D O I：
10.1007/s10255-004-0165-z
中图分类号：
学科分类号：
摘要：
This paper deals with the asymptotic behavior of solutions for the nonlinear Sobolev-Galpern equations. We first show the existence of the global weak attractor in H2(Ω) ∩ H01 (Ω) for the equations. And then by an energy equation we prove that the global weak attractor is actually the global strong attractor. The finite-dimensionality of the global attractor is also established. © Springer-Verlag 2004.
引用
收藏
页码：247 / 256
页数：9
相关论文
共 23 条
  • [21] Ting T.W., Certain nonsteady flows of second order fluids, Arch. Rat. Mech. Anal, 14, pp. 1-26, (1963)
  • [22] Ting T.W., Parabolic and pseudoparabolic partial differential equations, J. Math. Soc. Japan, 27, pp. 513-518, (1969)
  • [23] Wang X.M., An energy equation for the weakly damped driven nonlinear Schrö-dinger equations and its application to their attractor, Physica D, pp. 167-175, (1995)
123