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  • 标题:Random attractors for Ginzburg–Landau equations driven by difference noise of a Wiener-like process
  • 本地全文:下载
  • 作者:Fengling Wang ; Jia Li ; Yangrong Li
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-17
  • DOI:10.1186/s13662-019-2165-6
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We consider a Wong–Zakai process, which is the difference of a Wiener-like process. We then prove that there are random attractors for non-autonomous Ginzburg–Landau equations driven by linear multiplicative noise in terms of Wong–Zakai process and Wiener-like process, respectively. Moreover, we establish the upper semi-continuity of random attractors as the size of difference noise tends to zero.
  • 关键词:Random attractors;Random dynamical systems;Ginzburg;Landau Equations;Upper semi-continuity;Wong;Zakai difference;Wiener-like process
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