| 一维非齐次BBM方程的渐近吸引子 |
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| 引用本文： | 赵磊娜,郭春晓.一维非齐次BBM方程的渐近吸引子[J].烟台师范学院学报(自然科学版),2008(1). |
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| 作者姓名： | 赵磊娜 郭春晓 |
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| 作者单位： | 重庆交通大学理学院 重庆交通大学理学院 重庆 北京应用物理与计算数学研究所 |
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| 基金项目： | 重庆市自然科学基金(CSTC,2007BB2396) |
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| 摘 要： | 考虑一维周期边界条件下BBM方程解的渐近行为,给出了其有限维渐近吸引子的存在性,即通过构造有限维渐近解序列,证明了该序列不会远离方程的吸收集,并在长时间后无限趋于方程的整体吸引子.
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| 关 键 词： | 非齐次BBM方程 渐近解序列 渐近吸引子 整体吸引子 |
The Asymptotic Attractors of the Nonhomogeneous BBM Equation on One Dimension |
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| ZHAO Lei-na,; GUO Chun-xiao.The Asymptotic Attractors of the Nonhomogeneous BBM Equation on One Dimension[J].Yantai Teachers University journal(Natural Science Edition),2008(1). |
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| Authors: | ZHAO Lei-na ; GUO Chun-xiao |
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| Institution: | 1.School of Science; Chongqing Jiaotong University; Chongqing 400074; China; 2.Institute of Applied Physics and Computational Mathematics; Beijing 100088; China); |
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| Abstract: | The asymptotic attractors of the nonhomogeneous BBM equation with periodic boundary conditions on one dimension are studied,and the existence of finite dimension asymptotic attractors is given.It is demonstrated that the sequence does incline to get closed to the global attractors after a long time rather than run away from the absorbing set of the equation by means of conducting asymptotic solution sequence on finite dimension. |
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| Keywords: | non-homogeneous BBM equation sequence of the asymptotic solution asymptotic attractors global attractor |
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