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Bifurcation diagram of a Robin boundary value problem arising in MEMS

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.

preprint2020arXivOpen access
Jong-Shenq GuoN. I. KavallarisChi-Jen WangCherng-Yih Yu
math.AP
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Open access4 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Jong-Shenq GuoN. I. KavallarisChi-Jen WangCherng-Yih Yu

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