Stationary states to a free boundary transmission problem for an electrostatically actuated plate

Originalpublikation

Laurençot, P.; Walker, C.: Stationary states to a free boundary transmission problem for an electrostatically actuated plate. In: Nonlinear differential equations and applications : Nodea 30 (2023), Nr. 1, 2. DOI: https://doi.org/10.1007/s00030-022-00809-9

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Zum Zitieren der Version im Repositorium verwenden Sie bitte diesen DOI: https://doi.org/10.15488/13725

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Zusammenfassung:
A two-dimensional free boundary transmission problem arising in the modeling of an electrostatically actuated plate is considered and a representation formula for the derivative of the associated electrostatic energy with respect to the deflection of the plate is derived. The latter paves the way for the construction of energy minimizers and also provides the Euler–Lagrange equation satisfied by these minimizers. A by-product is the monotonicity of the electrostatic energy with respect to the deflection.
Lizenzbestimmungen: CC BY 4.0 Unported - https://creativecommons.org/licenses/by/4.0
Publikationstyp: Article
Publikationsstatus: publishedVersion
Erstveröffentlichung: 2022
Schlagwörter (englisch): Minimizers, Obstacle problem, Shape derivative, Transmission problem
Fachliche Zuordnung (DDC): 510 | Mathematik

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