Recent developments on a nonlocal problem arising in the micro-electro mechanical system
AbstractIn this paper, we study an evolution problem arises in the study of MEMS (micro-electro mechanical system) device. We consider both parabolic and hyperbolic type problems. We summarize some recent results on the steady states and the global vs non-global existence of solutions. We also list some open problems and provide a list (far from complete) of references related to this subject.
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