Details
Original language | English |
---|---|
Pages (from-to) | 677-694 |
Number of pages | 18 |
Journal | Discrete and Continuous Dynamical Systems - Series S |
Volume | 14 |
Issue number | 2 |
Publication status | Published - Feb 2021 |
Abstract
The existence of weak solutions to the obstacle problem for a non-local semilinear fourth-order parabolic equation is shown, using its underlying gradient flow structure. The model governs the dynamics of a microelectromechanical system with heterogeneous dielectric properties.
Keywords
- Fourth-order equation, Gradient flow, MEMS, Obstacle problem, Transmission problem
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Discrete Mathematics and Combinatorics
- Mathematics(all)
- Applied Mathematics
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In: Discrete and Continuous Dynamical Systems - Series S, Vol. 14, No. 2, 02.2021, p. 677-694.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Variational solutions to an evolution model for mems with heterogeneous dielectric properties
AU - Laurençot, Philippe
AU - Walker, Christoph
PY - 2021/2
Y1 - 2021/2
N2 - The existence of weak solutions to the obstacle problem for a non-local semilinear fourth-order parabolic equation is shown, using its underlying gradient flow structure. The model governs the dynamics of a microelectromechanical system with heterogeneous dielectric properties.
AB - The existence of weak solutions to the obstacle problem for a non-local semilinear fourth-order parabolic equation is shown, using its underlying gradient flow structure. The model governs the dynamics of a microelectromechanical system with heterogeneous dielectric properties.
KW - Fourth-order equation
KW - Gradient flow
KW - MEMS
KW - Obstacle problem
KW - Transmission problem
UR - http://www.scopus.com/inward/record.url?scp=85099718973&partnerID=8YFLogxK
U2 - 10.3934/dcdss.2020360
DO - 10.3934/dcdss.2020360
M3 - Article
AN - SCOPUS:85099718973
VL - 14
SP - 677
EP - 694
JO - Discrete and Continuous Dynamical Systems - Series S
JF - Discrete and Continuous Dynamical Systems - Series S
SN - 1937-1632
IS - 2
ER -