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Some singular equations modeling MEMS

Philippe LaurençotIMT - Institut de Mathématiques de Toulouse UMR5219 (UPS IMT, F-31062 Toulouse Cedex 9, INSA Toulouse, F-31077 Toulouse, France UT1, F-31042 Toulouse, France UT2, F-31058 Toulouse, Téléphone : 05.61.55.67.90 - France)Christoph WalkerLeibniz Universität Hannover, Institut für Angewandte Mathematik, Welfengarten 1, D–30167 Hannover, Germany
2016en
ABI

Аннотация

In the past fifteen years mathematical models for microelectromechanical systems (MEMS) have been the subject of several studies, in particular due to the interesting qualitative properties they feature. Still most research is devoted to an illustrative but simplified model, which is deduced from a more complex model when the aspect ratio of the device vanishes, the so-called vanishing (or small) aspect ratio model. The analysis of the aforementioned complex model involving a moving boundary has started only recently, and an outlook of the results obtained so far in this direction is provided in this survey.

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