@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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    dct:description """
              The dynamical and stationary behaviors of a fourth-order evolution equation with clamped boundary conditions and a singular nonlocal reaction term, which is coupled to an elliptic free boundary problem on a non-smooth domain, are investigated. The equation arises in the modeling of microelectromechanical systems (MEMS) and includes two positive parameters $\\lambda$ and $\\varepsilon$ related to the applied voltage and the aspect ratio of the device, respectively. Local and global well-posedness results are obtained for the corresponding hyperbolic and parabolic evolution problems as well as a criterion for global existence excluding the occurrence of finite time singularities which are not physically relevant. Existence of a stable steady state is shown for sufficiently small~$\\lambda$. Non-existence of steady states is also established when $\\varepsilon$ is small enough and $\\lambda$ is large enough (depending on $\\varepsilon$).
            """ ;
    dct:identifier "hal-00855094" ;
    dct:issued "2026-05-09T23:51:01.163285"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-09T23:51:01.163290"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "A free boundary problem modeling electrostatic MEMS: I. Linear bending effects" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00855094v1/resource/2dda1721-76f1-477d-a587-40bb7eb4d44e> ;
    dcat:keyword "35k91-35r35-35m33-35q74-35b60",
        "bending",
        "fourth-order-operator",
        "free-boundary-problem",
        "infoeu-reposemanticsarticle",
        "journal-articles",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "mems",
        "non-existence",
        "well-posedness" ;
    dcat:landingPage <ISSN:%200025-5831> .

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    dct:format "HTML" ;
    dct:issued "2026-05-09T23:51:01.184201"^^xsd:dateTime ;
    dct:modified "2026-05-09T23:51:01.149166"^^xsd:dateTime ;
    dct:title "A free boundary problem modeling electrostatic MEMS: I. Linear bending effects" ;
    dcat:accessURL <https://hal.science/hal-00855094> .

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