Direct and inverse problems related to MEMS

DOI10.1088/0266-5611/25/10/105002zbMath1180.35550OpenAlexW2032957049WikidataQ59278482 ScholiaQ59278482MaRDI QIDQ3643518

Alfredo Lorenzi, Daniele Cassani, Barbara Kaltenbacher

Publication date: 9 November 2009

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/25/10/105002

zbMATH Keywords

Coulomb potentialmicro-electro-mechanical systemsinverse evolution problems

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Electromagnetic theory (general) (78A25)

Related Items (13)

Electrostatic field in terms of geometric curvature in membrane MEMS devices ⋮ Convergence of solutions of a nonlocal biharmonic MEMS equation with the fringing field ⋮ Periodic solutions to nonlocal MEMS equations ⋮ Existence and non-existence results for variational higher order elliptic systems ⋮ A magneto-thermo-elastic identification problem with a moving boundary in a micro-device ⋮ Critical pull-in curves of MEMS actuators in presence of Casimir force ⋮ Global vs blow-up solutions and optimal threshold for hyperbolic ODEs with possibly singular nonlinearities ⋮ Some singular equations modeling MEMS ⋮ Existence of solutions to higher order Lane-Emden type systems ⋮ Optimal control of a singular PDE modeling transient MEMS with control or state constraints ⋮ Global existence for nonlocal MEMS ⋮ Hardy-Rellich inequalities with boundary remainder terms and applications ⋮ Dynamics of electrostatic microelectromechanical systems actuators

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