Nonlocal Dynamic Problems with Singular Nonlinearities and Applications to MEMS

DOI10.1007/978-3-319-04214-5_11zbMath1320.35231OpenAlexW184013525MaRDI QIDQ5261438

Antonio Tarsia, Luisa Fattorusso, Daniele Cassani

Publication date: 3 July 2015

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-04214-5_11

zbMATH Keywords

Steklov boundary conditionsnear operators theoryMicroElectroMechanicalSystems

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Integro-partial differential equations (35R09) Higher-order semilinear hyperbolic equations (35L76)

Related Items (8)

Electrostatic field in terms of geometric curvature in membrane MEMS devices ⋮ Periodic solutions to nonlocal MEMS equations ⋮ Vanishing aspect ratio limit for a fourth-order MEMS model ⋮ Global vs blow-up solutions and optimal threshold for hyperbolic ODEs with possibly singular nonlinearities ⋮ Some singular equations modeling MEMS ⋮ MEMS with fringing field: curvature-dependent electrostatic field and numerical techniques for recovering the membrane profile ⋮ Reconstructing the membrane detection of a 1D electrostatic-driven MEMS device by the shooting method: convergence analysis and ghost solutions identification ⋮ The abstract quasilinear Cauchy problem for a MEMS model with two free boundaries

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