Regularized model of post-touchdown configurations in electrostatic MEMS: bistability analysis

DOI10.1007/s10665-015-9820-zzbMath1360.74052OpenAlexW2201009305MaRDI QIDQ525467

Alan E. Lindsay

Publication date: 4 May 2017

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-015-9820-z

zbMATH Keywords

van der Waals forcesstictionCasimir forceshigher order partial differential equationsnano-technologysingular perturbation techniques

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Initial-boundary value problems for higher-order parabolic equations (35K35) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Electromagnetic effects in solid mechanics (74F15) Electro- and magnetostatics (78A30) PDEs in connection with mechanics of deformable solids (35Q74) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items (6)

Monge-Ampére simulation of fourth order PDEs in two dimensions with application to elastic-electrostatic contact problems ⋮ Some singular equations modeling MEMS ⋮ Adaptive Solution to Two-Dimensional Partial Differential Equations in Curved Domains Using the Monge--Ampére Equation ⋮ Singular Perturbation Analysis of a Regularized MEMS Model ⋮ Moving mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems ⋮ Regularized model of post-touchdown configurations in electrostatic MEMS: Equilibrium analysis

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