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A vibrating thermoelastic plate in a contact with an obstacle

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    SYSNO ASEP0449361
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve SCOPUS
    TitleA vibrating thermoelastic plate in a contact with an obstacle
    Author(s) Bock, I. (SK)
    Jarušek, Jiří (MU-W) RID, ORCID, SAI
    Source TitleTatra Mountains Mathematical Publications. - : Matematický ústav SAV - ISSN 1210-3195
    Roč. 63, č. 1 (2015), s. 39-52
    Number of pages14 s.
    Languageeng - English
    CountrySK - Slovakia
    Keywordsthermoelastic plate ; unilateral dynamic contact ; rigid obstacle
    Subject RIVBA - General Mathematics
    R&D ProjectsGAP201/12/0671 GA ČR - Czech Science Foundation (CSF)
    Institutional supportMU-W - RVO:67985840
    EID SCOPUS84943514301
    DOI10.1515/tmmp-2015-0019
    AnnotationWe deal with a dynamic contact problem for a thermoelastic plate vibrating against a rigid obstacle. Dynamics is described by a hyperbolic variational inequality for deflections. The plate is subjected to a perpendicular force and to a heat source. The parabolic equation for the thermal strain resultant contains the time derivative of the deflection. We formulate a weak solution of the system and verify its existence using the penalization method.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2016
Number of the records: 1  

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