| Attractors and Dimensions for Discretizations of a Dissipative Zakharov Equations |
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| 引用本文： | Qian-shun Chang,Bo-ling GuoInstitute of Applied Mathematics,Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100080,ChinaInstitute of Applied Physics and Computational Mathematics,Beijing 100088,China. Attractors and Dimensions for Discretizations of a Dissipative Zakharov Equations[J]. 应用数学学报(英文版), 2002, 18(2): 201-214. DOI: 10.1007/s102550200019 |
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| 作者姓名： | Qian-shun Chang Bo-ling GuoInstitute of Applied Mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing 100080 ChinaInstitute of Applied Physics and Computational Mathematics Beijing 100088 China |
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| 作者单位： | Qian-shun Chang，Bo-ling GuoInstitute of Applied Mathematics，Academy of Mathematics and System Sciences，Chinese Academy of Sciences，Beijing 100080，ChinaInstitute of Applied Physics and Computational Mathematics，Beijing 100088，China |
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| 摘 要： | Abstract In this paper, a dissipative Zakharov equations are discretized by difference method.We make priorestimates for the algebric system of equations. It is proved that for each mesh size,there exist attractors forthe discretized system.The bounds of the Hausdorff dimensions of the discrete attractors are obtained,and thevarious bounds are dependent of the mesh sizes.
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Attractors and Dimensions for Discretizations of a Dissipative Zakharov Equations |
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| Qian-shun Chang,Bo-ling Guo. Attractors and Dimensions for Discretizations of a Dissipative Zakharov Equations[J]. Acta Mathematicae Applicatae Sinica, 2002, 18(2): 201-214. DOI: 10.1007/s102550200019 |
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| Authors: | Qian-shun Chang Bo-ling Guo |
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| Affiliation: | (1) Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China (E-mail: cqs@amath8.amt.ac.cn), CN;(2) Institute of Applied Physics and Computational Mathematics, Beijing 100080, China (E-mail: gbl@mail.iapcm.ac.cn), CN |
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| Abstract: | In this paper, a dissipative Zakharov equations are discretized by difference method. We make prior estimates for the algebric system of equations. It is proved that for each mesh size, there exist attractors for the discretized system. The bounds of the Hausdorff dimensions of the discrete attractors are obtained, and the various bounds are dependent of the mesh sizes. |
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| Keywords: | Attractor dissipative Zakharov equation |
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