Mathematical modelling and analysis of temperature effects in MEMS

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dc.contributor.advisor Escher, Joachim DE
dc.contributor.advisor Gosselet, Pierre DE Würth, Tim Oliver ger 2019-10-04T10:37:10Z 2019-10-04T10:37:10Z 2019
dc.identifier.citation Würth, Tim: Mathematical modelling and analysis of temperature effects in MEMS. Hannover : Gottfried Wilhelm Leibniz Universität, Diss., 2019, 74 S. DOI: ger
dc.description.abstract This thesis is concerned with the mathematical analysis of models for Micro-Electro-Mechanical Systems (MEMS). These models arise in the form of coupled partial differential equations with a moving boundary. Although MEMS devices are often operated in non-isothermal environments, temperature is usually neglected in the mathematical investigations. Therefore the focus of our modelling is to incorporate temperature and the related material properties. We derive two models, both of which focus on different aspects of the underlying physics. Afterwards we prove local well-posedness in time and also global well-posedness under additional assumptions on the model's parameters. Lastly, we provide some numerical results which exemplify how temperature and the model's material constants change the qualitative behaviour of the system. ger
dc.language.iso eng ger
dc.publisher Hannover : Institutionelles Repositorium der Leibniz Universität Hannover
dc.rights CC BY 3.0 DE ger
dc.rights.uri ger
dc.subject temperature eng
dc.subject partial differential equations eng
dc.subject Micro-Electro-Mechanical Systems (MEMS) ger
dc.subject Temperatur ger
dc.subject partielle Differentialgleichungen ger
dc.subject.ddc 510 | Mathematik ger
dc.title Mathematical modelling and analysis of temperature effects in MEMS eng
dc.type doctoralThesis ger
dc.type Text ger
dc.description.version publishedVersion ger
tib.accessRights frei zug�nglich ger

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