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         "id"   : "https://puma.ub.uni-stuttgart.de/bibtex/215cbaa595a6eb4993ab86ab418376c26/elkepeter",         
         "tags" : [
            "Lienstromberg","IADM","problem","MEMS","quasilinear","evolution","modelling"
         ],
         
         "intraHash" : "15cbaa595a6eb4993ab86ab418376c26",
         "interHash" : "64986724c4398d14ae2c3ea8f153a653",
         "label" : "Well-posedness of a quasilinear evolution problem modelling MEMS with general permittivity",
         "user" : "elkepeter",
         "description" : "",
         "date" : "2023-03-27 11:18:04",
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         "pub-type": "article",
         "journal": "J. Evol. Equ.",
         "year": "2017", 
         "url": "https://doi.org/10.1007/s00028-016-0375-x", 
         
         "author": [ 
            "Christina Lienstromberg"
         ],
         "authors": [
         	
            	{"first" : "Christina",	"last" : "Lienstromberg"}
         ],
         "volume": "17","number": "4","pages": "1129--1150","abstract": "\"Subject of consideration is the analytical investigation of a coupled system of partial differential equations arising from the modelling of electrostatically actuated microelectromechanical systems with general permittivity profile. A quasilinear parabolic evolution problem for the displacement u of an elastic membrane is coupled with an elliptic free boundary value problem that determines the electrostatic potential ψ in the region between the elastic membrane and a rigid ground plate. The system is shown to be well-posed locally in time for all arbitrarily large values λ of the applied voltage, whereas small values of the applied voltage, which do not exceed a certain critical value λ∗, do even allow globally in time existing solutions. In addition, conditions are specified which force solutions emerging from a non-positive initial deflection to stay non-positive as long as they exist.''",
         "mrclass" : "35K59 (35B09 35B30 35B44 35K20 35R35 74M05)",
         
         "fjournal" : "Journal of Evolution Equations",
         
         "mrnumber" : "3722055",
         
         "issn" : "1424-3199",
         
         "doi" : "10.1007/s00028-016-0375-x",
         
         "bibtexKey": "MR3722055"

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