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| dc.identifier.uri | http://dx.doi.org/10.15488/13725 | |
| dc.identifier.uri | https://www.repo.uni-hannover.de/handle/123456789/13835 | |
| dc.contributor.author | Laurençot, Philippe
|
|
| dc.contributor.author | Walker, Christoph
|
|
| dc.date.accessioned | 2023-05-25T07:28:43Z | |
| dc.date.available | 2023-05-25T07:28:43Z | |
| dc.date.issued | 2022 | |
| dc.identifier.citation | 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 | |
| dc.description.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. | eng |
| dc.language.iso | eng | |
| dc.publisher | [Cham (ZG)] : [Springer International Publishing AG] | |
| dc.relation.ispartofseries | Nonlinear differential equations and applications : Nodea 30 (2023), Nr. 1 | |
| dc.rights | CC BY 4.0 Unported | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0 | |
| dc.subject | Minimizers | eng |
| dc.subject | Obstacle problem | eng |
| dc.subject | Shape derivative | eng |
| dc.subject | Transmission problem | eng |
| dc.subject.ddc |
510 | Mathematik
|
ger |
| dc.title | Stationary states to a free boundary transmission problem for an electrostatically actuated plate | eng |
| dc.type | Article | |
| dc.type | Text | |
| dc.relation.essn | 1420-9004 | |
| dc.relation.issn | 1021-9722 | |
| dc.relation.doi | https://doi.org/10.1007/s00030-022-00809-9 | |
| dc.bibliographicCitation.issue | 1 | |
| dc.bibliographicCitation.volume | 30 | |
| dc.bibliographicCitation.date | 2023 | |
| dc.bibliographicCitation.firstPage | 2 | |
| dc.description.version | publishedVersion | |
| tib.accessRights | frei zug�nglich |
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Fakultät für Mathematik und Physik
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