Details
| Original language | English |
|---|---|
| Pages (from-to) | 1537-1556 |
| Number of pages | 20 |
| Journal | Annali di Matematica Pura ed Applicata |
| Volume | 196 |
| Issue number | 4 |
| Publication status | Published - 1 Aug 2017 |
Abstract
So far most studies on mathematical models for microelectromechanical systems are focused on the so-called small aspect ratio model which is a wave or beam equation with a singular source term. It is formally derived by setting the aspect ratio equal to zero in a more complex model involving a moving boundary. A rigorous justification of this derivation is provided here when bending is taken into account.
Keywords
- Free boundary, MEMS, Small aspect ratio limit
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
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In: Annali di Matematica Pura ed Applicata, Vol. 196, No. 4, 01.08.2017, p. 1537-1556.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Vanishing aspect ratio limit for a fourth-order MEMS model
AU - Laurençot, Philippe
AU - Walker, Christoph
N1 - Funding information: Partially supported by the French-German PROCOPE Project 30718Z.
PY - 2017/8/1
Y1 - 2017/8/1
N2 - So far most studies on mathematical models for microelectromechanical systems are focused on the so-called small aspect ratio model which is a wave or beam equation with a singular source term. It is formally derived by setting the aspect ratio equal to zero in a more complex model involving a moving boundary. A rigorous justification of this derivation is provided here when bending is taken into account.
AB - So far most studies on mathematical models for microelectromechanical systems are focused on the so-called small aspect ratio model which is a wave or beam equation with a singular source term. It is formally derived by setting the aspect ratio equal to zero in a more complex model involving a moving boundary. A rigorous justification of this derivation is provided here when bending is taken into account.
KW - Free boundary
KW - MEMS
KW - Small aspect ratio limit
UR - http://www.scopus.com/inward/record.url?scp=85001133148&partnerID=8YFLogxK
U2 - 10.1007/s10231-016-0628-x
DO - 10.1007/s10231-016-0628-x
M3 - Article
AN - SCOPUS:85001133148
VL - 196
SP - 1537
EP - 1556
JO - Annali di Matematica Pura ed Applicata
JF - Annali di Matematica Pura ed Applicata
SN - 0373-3114
IS - 4
ER -