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

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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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Abstract: 
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.
License of this version: CC BY 4.0 Unported
Document Type: Article
Publishing status: publishedVersion
Issue Date: 2022
Appears in Collections:Fakultät für Mathematik und Physik

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1 image of flag of Germany Germany 13 54.17%
2 image of flag of United States United States 9 37.50%
3 image of flag of China China 2 8.33%
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