淡江大學機構典藏:Item 987654321/122878
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    题名: Bifurcation diagram of a Robin boundary value problem arising in MEMS
    作者: Jong-Shenq Guo;Nikos I. Kavallaris;Chi-Jen Wang;Cherng-Yih Yu
    关键词: bifurcation diagram;micro-electro mechanical system;pull-in voltage;Robin boundary condition;stationary solution
    日期: 2022-11-30
    上传时间: 2023-04-28 16:22:50 (UTC+8)
    出版者: Hiroshima University, Mathematics Program
    摘要: We consider a parabolic problem with Robin boundary condition which arises when the edge of a micro-electro-mechanical-system (MEMS) device is connected with a flexible nonideal support. Then via a rigorous analysis we investigate the structure of the solution set of the corresponding steady-state problem. We show that a critical value (the pull-in voltage) exists so that the system has exactly two stationary solutions when the applied voltage is lower than this critical value, one stationary solution for applying this critical voltage, and no stationary solution above the critical voltage.
    關聯: Hiroshima Mathematical Journal 52(3), p.311-320
    DOI: 10.32917/h2021029
    显示于类别:[應用數學與數據科學學系] 期刊論文

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