淡江大學機構典藏:Item 987654321/76896
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/76896


    Title: On a nonlocal parabolic problem arising in electrostatic MEMS control
    Authors: Guo, Jong-Shenq;Kavallaris, Nikos I.
    Contributors: 淡江大學數學學系
    Keywords: Electrostatic MEMS;touchdown;quenching;Morse index
    Date: 2012-05
    Issue Date: 2012-05-22 17:04:14 (UTC+8)
    Publisher: Springfield: American Institute of Mathematical Sciences
    Abstract: We consider a nonlocal parabolic equation associated with Dirichlet boundary and initial conditions arising in MEMS control. First, we investigate the structure of the associated steady-state problem for a general star-shaped domain. Then we classify radially symmetric stationary solutions and their radial Morse indices. Finally, we study under which circumstances the solution of the time-dependent problem is global-in-time or quenches in finite time.
    Relation: Discrete and Continuous Dynamical Systems 32(5), pp.1723-1746
    DOI: 10.3934/dcds.2012.32.1723
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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