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Upper and lower bounds for the pull-in voltage and the pull-in distance for a generalized MEMS problem
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Upper and lower bounds for the pull-in voltage and the pull-in distance for a generalized MEMS problem

Yan-Hsiou Cheng, Kuo-Chih Hung, Shin-Hwa WangJhih-Jyun Zeng
Mathematical Biosciences and Engineering, 卷.19(7), 頁碼.6814-6840
2022
PMID: 35730284

摘要

global bifurcation diagram MEMS positive solution prescribed mean curvature problem pull-in distance pull-in voltage Modeling and Simulation Agricultural and Biological Sciences (all) Computational Mathematics Applied Mathematics
We study upper and lower bounds for the pull-in voltage and the pull-in distance for the one-dimensional prescribed mean curvature problem arising in MEMS - u √ (x) 1+(u(x))2 ! = λ (1-u)p , u < 1, - L < x < L, u(-L) = u(L) = 0, where λ > 0 is a bifurcation parameter, and p, L > 0 are two evolution parameters. We further study monotonicity properties and asymptotic behaviors for the pull-in voltage and pull-in distance with respect to positive parameters p and L.

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https://doi.org/10.3934/mbe.2022321檢視
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