| 一维非齐次BBM方程周期边界问题的整体吸引子 |
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| 引用本文： | 陶蓉.一维非齐次BBM方程周期边界问题的整体吸引子[J].大学数学,2007,23(3):65-69. |
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| 作者姓名： | 陶蓉 |
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| 作者单位： | 四川农业大学,生命理学院,数学系,四川,雅安,625014 |
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| 摘 要： | 研究了一维非齐次方程BBM方程ut-uxxt-αφ(u)x=g(x)+βf(u)+γuxx(α>0,β>0,γ>0),u(x+2π,t)=u(x,t),u(x,0)=u0(x)的周期边界问题.利用Sobolev插值不等式,对解做关于时间t的一致性先验估计,证明了该问题的整体吸引子的存在性.
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| 关 键 词： | BBM方程 先验估计 整体吸引子 |
| 文章编号： | 1672-1454（2007）03-0065-05 |
| 修稿时间： | 2005-09-13 |
Global Attractor for the Initial Boundary Value Problem of One Class Nonhomogeneous BBM Equations |
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| TAO Rong.Global Attractor for the Initial Boundary Value Problem of One Class Nonhomogeneous BBM Equations[J].College Mathematics,2007,23(3):65-69. |
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| Authors: | TAO Rong |
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| Institution: | College of Life and Science, SiChuan Agriculture University, Yaan 625014, China |
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| Abstract: | The following initial-boundary value problem for the systems with nonhomogeneous BBM equations is reviewed in this paperut-uxxt-(αun)x=g(x)+βf(u)+γuxx(α>0,β>0,γ>0),ux(0,t)=0,u(1,t)=0,u(x,0)=u0(x)The existence of global attractors of this problem was proved by means of a uniform a priori estimate for time. |
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| Keywords: | BBM equations apriori estimates global attactor |
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