The quenching set of a MEMS capacitor in two-dimensional geometries

DOI10.1007/s00332-013-9169-2zbMath1284.35072OpenAlexW2087355129MaRDI QIDQ379914

Francisco-Javier Sayas, J. Lega, Alan E. Lindsay

Publication date: 11 November 2013

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-013-9169-2

zbMATH Keywords

nanotechnologybi-Laplace equationsmicro-electro-mechanical systemsquenching set

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Singular perturbations in context of PDEs (35B25) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Singular parabolic equations (35K67)

Related Items (11)

On an elliptic-parabolic MEMS model with two free boundaries ⋮ Fuzzy controllers for nonaffine-in-control singularly perturbed switched systems ⋮ A fourth-order model for MEMS with clamped boundary conditions ⋮ Vanishing aspect ratio limit for a fourth-order MEMS model ⋮ Monge-Ampére simulation of fourth order PDEs in two dimensions with application to elastic-electrostatic contact problems ⋮ Some singular equations modeling MEMS ⋮ An asymptotic study of blow up multiplicity in fourth order parabolic partial differential equations ⋮ On the quenching behaviour of a semilinear wave equation modelling MEMS technology ⋮ Moving mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems ⋮ Unnamed Item ⋮ Regularized model of post-touchdown configurations in electrostatic MEMS: Equilibrium analysis

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