| 记忆型强阻尼波方程的吸引子 |
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| 引用本文： | 孟凤娟,刘存才.记忆型强阻尼波方程的吸引子[J].南京大学学报(自然科学版),2016(2):114-136. |
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| 作者姓名： | 孟凤娟 刘存才 |
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| 作者单位： | 江苏理工学院数理学院,常州,213001 |
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| 基金项目： | the NSFC(11526100)，Natural Science Fund for Colleges and Universities in Jiangsu Province(15KJB110005)，QingLan Project |
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| 摘 要： | 本文主要研究带记忆项的强阻尼波方程(6)u-△(6)u-κ(o)△u-(f)κ'(s)△u(t-s)ds+Ψ(u)=f解的长时间行为.我们证明了轨道和全局吸引子的存在性,并给出了它们结构的刻画.
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| 关 键 词： | 轨道吸引子 全局吸引子 波方程 记忆核 |
ATTRACTORS FOR A STRONGLY DAMPED WAVE EQUATION WITH MEMORY |
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| Abstract: | In this paper,we study the following strongly damped wave equation with memory effect (6)2tu-△(6)tu-κ(0)△u-κ'(s)△u(t-s)ds + Ψ(u) =f.Other than consider the problem in the history space setting as the previous works,we are concerned with the corresponding system acts in the space of initial data of the Cauchy problem.We will prove the existence of trajectory attractors and global attractors for the above equation.Moreover,we will state the results about the structure for the trajectory and global attractor of the equation. |
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| Keywords: | trajectory attractor global attractor wave equation memory kernel |
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