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非自治吊桥方程的一致吸引子
  • ISSN号：0490-6756
  • 期刊名称：《四川大学学报：自然科学版》
  • 时间：0
  • 分类：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,兰州730070, [2]兰州大学数学与统计学院,兰州730000
  • 相关基金：国家自然科学基金（10771089）;国家自然科学基金（10871060）
作者： 汪璇[1,2], 马巧珍[1]
关键词： 非自治吊桥方程, 一致(C)条件, 一致吸引子, non-autonomous suspension bridge equation, uniform Condition（C）, uniform attractor
中文摘要：

作者讨论了非自治吊桥面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．当外力项厂满足条件（C’）（而非平移肾）时，作者证明了一致吸引子在H0^2（Ω）×L^2（Ω）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 suspension bridge equations is discussed in this paper. On the basis of some new results and technique of energy estimates, the uniformly decay estimate is obtained. When forcing term f only satisfies Condition（C＊ ） instead of translation compact,the existence of uniform attractors in H0^2（Ω）×L^2（Ω） is proven. The result extends and improves some known results.

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期刊信息
  • 《四川大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:四川大学
  • 主编：刘应明
  • 地址：成都九眼桥望江路29号
  • 邮编：610064
  • 邮箱：
  • 电话：028-85410393 85412393
  • 国际标准刊号：ISSN：0490-6756
  • 国内统一刊号：ISSN：51-1595/N
  • 邮发代号:62-127
  • 获奖情况:
  • 国家“双效”期刊,四川省十佳科技期刊,教育部全国高校优秀学报二等奖（1995，1999）,四川省科技优秀期刊一等奖（1996，2000）
  • 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）,德国数学文摘,美国生物科学数据库,英国动物学记录,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,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）,中国北大核心期刊（2000版）
  • 被引量:10542