淡江大學機構典藏:Item 987654321/114915
English  |  正體中文  |  简体中文  |  全文笔数/总笔数 : 62830/95882 (66%)
造访人次 : 4145227      在线人数 : 646
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library & TKU Library IR team.
搜寻范围 查询小技巧：
  • 您可在西文检索词汇前后加上"双引号"，以获取较精准的检索结果
  • 若欲以作者姓名搜寻，建议至进阶搜寻限定作者字段，可获得较完整数据
    •  进阶搜寻


    jsp.display-item.identifier=請使用永久網址來引用或連結此文件: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/114915


    题名: Quenching rate for a nonlocal problem arising in the micro-electro mechanical system
    作者: Guo, Jong-Shenq;Hu, Bei
    关键词: Quenching;Micro-electro mechanical system (MEMS);Lyapunov function;Non-local;Self-similar;Asymptotic
    日期: 2018-03
    上传时间: 2018-09-18 12:10:35 (UTC+8)
    摘要: In this paper, we study the quenching rate of the solution for a nonlocal parabolic problem which arises
    in the study of the micro-electro mechanical system. This question is equivalent to the stabilization of the
    solution to the transformed problem in self-similar variables. some a priori estimates are provided. In
    order to construct a Lyapunov function, due to the lack of time monotonicity property, we then derive some very useful and challenging estimates by a delicate analysis. Finally, with this Lyapunov function, we prove that the quenching rate is self-similar which is the same as the problem without the nonlocal term, except the constant limit depends on the solution itself.
    關聯: Journal of Differential Equations, 264, 3285- 3311
    DOI: 10.1016/j.jde.2017.11.017
    显示于类别:[數學學系暨研究所] 期刊論文

    文件中的档案:

    档案 描述 大小格式浏览次数
    index.html0KbHTML200检视/开启
    Quenching rate for a nonlocal problem arising in the micro-electro mechanical system.pdf346KbAdobe PDF6检视/开启

    在機構典藏中所有的数据项都受到原著作权保护.

    TAIR相关文章

    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library & TKU Library IR teams. Copyright ©   - 回馈