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带记忆的非自治黏弹性棒方程的吸引子的存在性(英文)
  • ISSN号：1671-9352
  • 期刊名称：山东大学学报(理学版)
  • 时间：0
  • 页码：67-74
  • 语言：中文
  • 分类：O175.27[理学—数学;理学—基础数学] O175.29[理学—数学;理学—基础数学]
  • 作者机构：[1]西北师范大学数学与信息科学学院,甘肃兰州730070, [2]兰州大学数学与统计学院,甘肃兰州730000
  • 相关基金：Supported by the National Natural Science Foundation of China（10871060 10771089）
  • 相关项目：几类非自伴微分方程周期解的存在性及渐近性态
作者： 汪璇| 马巧珍|
关键词： 非自治黏弹性棒方程, 一致吸引子, 记忆核, non-autonomous viscoelastic rod equation, uniform attractor, memory kernel
中文摘要：

讨论了带衰退记忆的半线性非自治黏弹性棒方程的长时间动力学行为。通过应用一些新的结果和能量估计技巧,获得了能量的一致衰退估计,当外力项满足（C＊）条件而非平移紧时,证明了一致吸引子在Vθ×H×Lμ2（R＋;Vθ）上的存在性,此结果推广和改进了一些已有结果。

英文摘要：

The long-time dynamical behavior of the non-autonomous viscoelastic rod equations with memory is discussed in this paper.Based on some new results and energy estimates,the uniformly decay estimate is obtained.When the forcing term f only satisfies condition（C＊） instead of translation compact,the existence of uniform attractors in Vθ×H×L2μ（R＋;Vθ） is proven,which extends and improves some known results.

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期刊信息
  • 《山东大学学报：理学版》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:山东大学
  • 主编：刘建亚
  • 地址：济南市经十路17923号
  • 邮编：250061
  • 邮箱：xblxb@sdu.edu.cn
  • 电话：0531-88396917
  • 国际标准刊号：ISSN：1671-9352
  • 国内统一刊号：ISSN：37-1389/N
  • 邮发代号:24-222
  • 获奖情况:
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,波兰哥白尼索引,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,英国英国皇家化学学会文摘
  • 被引量:6243