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         "type" : "Publication",
         "id"   : "https://puma.ub.uni-stuttgart.de/bibtex/25f5ee26748b071079c32fd33ce47b9c7/elkepeter",         
         "tags" : [
            "Lienstromberg","IADM","systems","microelectromechanical","qualitative","solutions","of","to","analysis"
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         "label" : "A qualitative analysis of solutions to microelectromechanical systems with curvature and nonlinear permittivity profile",
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         "date" : "2023-03-27 11:15:44",
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         "journal": "Comm. Partial Differential Equations",
         "year": "2016", 
         "url": "https://doi.org/10.1080/03605302.2015.1105259", 
         
         "author": [ 
            "Joachim Escher","Christina Lienstromberg"
         ],
         "authors": [
         	
            	{"first" : "Joachim",	"last" : "Escher"},
            	{"first" : "Christina",	"last" : "Lienstromberg"}
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         "label" : "On qualitative properties of solutions to microelectromechanical systems with general permittivity",
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         "author": [ 
            "Christina Lienstromberg"
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         "authors": [
         	
            	{"first" : "Christina",	"last" : "Lienstromberg"}
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         "volume": "179","number": "4","pages": "581--602","abstract": "\"Qualitative properties of solutions to the evolution problem modelling microelectromechanical systems with general permittivity profile are investigated. The system couples a parabolic evolution problem for the displacement of a membrane with an elliptic free boundary value problem for the electric potential in the region between the membrane and a rigid ground plate. We briefly allude to results concerning local and global well-posedness and the small-apect ratio limit. However, the focus is here on proving non-positivity of the membrane displacement for the full moving boundary problem under certain boundary conditions on the potential, as well as the existence of finite-time singularities assuming to have a non-positive solution.''",
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         "fjournal" : "Monatshefte für Mathematik",
         
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         "doi" : "10.1007/s00605-015-0744-5",
         
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         "url": "https://doi.org/10.1007/s10231-016-0549-8", 
         
         "author": [ 
            "Joachim Escher","Christina Lienstromberg"
         ],
         "authors": [
         	
            	{"first" : "Joachim",	"last" : "Escher"},
            	{"first" : "Christina",	"last" : "Lienstromberg"}
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         "mrreviewer" : "Alberto Valli",
         
         "fjournal" : "Annali di Matematica Pura ed Applicata. Series IV",
         
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         "issn" : "0373-3114",
         
         "doi" : "10.1007/s10231-016-0549-8",
         
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         "id"   : "https://puma.ub.uni-stuttgart.de/bibtex/23dd6f86fc81e402da2863b42b274769f/mhartmann",         
         "tags" : [
            "phase","Phase","solutions","Two-scale","elasticity;","regularity","models;","with","Liquid","of","field","and","epitaxy","model;","vorlaeufig","Existence"
         ],
         
         "intraHash" : "3dd6f86fc81e402da2863b42b274769f",
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         "label" : "Well-Posedness of a Two Scale Model for Liquid Phase Epitaxy with\n\tElasticity",
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         "date" : "2018-07-20 10:54:15",
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         "journal": "Contin. Mech. Thermodyn.",
         "year": "2017", 
         "url": "http://dx.doi.org/10.1007/s00161-015-0462-1", 
         
         "author": [ 
            "Michael Kutter","Christian Rohde","Anna-Margarete Sändig"
         ],
         "authors": [
         	
            	{"first" : "Michael",	"last" : "Kutter"},
            	{"first" : "Christian",	"last" : "Rohde"},
            	{"first" : "Anna-Margarete",	"last" : "Sändig"}
         ],
         "volume": "29","number": "4","pages": "989-1016",
         "issn" : "0935-1175",
         
         "owner" : "seusdd",
         
         "doi" : "10.1007/s00161-015-0462-1",
         
         "bibtexKey": "kutter2017wellposedness"

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