| 一类推广的BBM方程的强吸引子 |
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| 引用本文： | 张效华,郭春晓.一类推广的BBM方程的强吸引子[J].数学的实践与认识,2012,42(11):184-190. |
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| 作者姓名： | 张效华 郭春晓 |
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| 作者单位： | 1. 天津职业技术师范大学理学院,天津,300222
2. 中国矿业大学(北京)理学院,北京,100083 |
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| 基金项目： | 国家自然科学基金，天津职业技术师范大学科研发展基金 |
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| 摘 要： | 主要研究了推广的Benjamin-Bona-Mahony（BBM）方程的解的渐近行为,通过证明半群的渐近紧性证明了方程在H)per2（Ω）中全局吸引子的存在性.
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| 关 键 词： | 全局吸引子 渐近行为 半群的渐近紧性 |
Strong Attractors for the Generalized BBM Equation |
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| ZHANG Xiao-hua
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GUO Chun-xiao.Strong Attractors for the Generalized BBM Equation[J].Mathematics in Practice and Theory,2012,42(11):184-190. |
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| Authors: | ZHANG Xiao-hua GUO Chun-xiao |
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| Institution: | 1.School of Mathematics and Physics,Tianjin University of Technology and Education,Tianjin 300222, China) (2.School of Mathematics and Physics,China University of Mining & Technology Beijing,Beijing 100083, China) |
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| Abstract: | The asymptotic behavior for the generalized BBM equation is studied and the existence of strong global attractor is proved through proving the asymptotic compactness of the semigroup in Hper2（Ω）. |
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| Keywords: | Global attractor Asymptotic behavior Asymptotic compactness of semigroup |
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