期刊论文

Xiao, Cui Hui

英文

数学学报：英文版

1439-8516

2009

25

2

321-342

10.1007/s10114-008-5595-8

This research is supported by National Natural Science Foundation of People＇s Republic of China （10771139） Partly supported by A Project Supported by Scientific Research Fund of Hu＇nan Provincial Education on Department（08A070 08A071）Acknowledgements The research is sponsored by Hunan Postdoctoral Scientific Program and Xiangtan University Postdoctoral Scientific Program. The authors thank the reviewers very much for their reading this paper carefully and giving useful suggestions and comments

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We consider the asymptotic behavior of solutions of an infinite lattice dynamical system of dissipative Zakharov equation. By introducing new weight inner product and norm in the space and establishing uniform estimate on "Tail End" of solutions, we overcome some difficulties caused by the lack of Sobolev compact embedding under infinite lattice system, and prove the existence of the global attractor; then by using element decomposition and the covering property of a polyhedron in the finite-dimensional space, we obtain an upper bound for the K...

We consider the asymptotic behavior of solutions of an infinite lattice dynamical systemof dissipative Zakharov equation. By introducing new weight inner product and norm in the spaceand establishing uniform estimate on "Tail End" of solutions, we overcome some difficulties caused bythe lack of Sobolev compact embedding under infinite lattice system, and prove the existence of theglobal attractor; then by using element decomposition and the covering property of a polyhedron inthe finite-dimensional space, we obtain an upper bound for the Kolmo...