A magneto-thermo-elastic identification problem with a moving boundary in a micro-device

DOI10.1007/s00032-013-0209-zzbMath1291.35440OpenAlexW1989889587MaRDI QIDQ383906

Paolo Di Barba, Alfredo Lorenzi

Publication date: 6 December 2013

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

Full work available at URL: https://doi.org/10.1007/s00032-013-0209-z

zbMATH Keywords

existence and uniqueness of solutionsidentification problemssystems of parabolic equationsintegro-differential parabolic equationsmagneto-thermal equationsquasi static case

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Thermodynamics of continua (80A17) Electro- and magnetostatics (78A30)

Related Items (3)

Electrostatic field in terms of geometric curvature in membrane MEMS devices ⋮ The method of fundamental solutions for problems in static thermo-elasticity with incomplete boundary data ⋮ Reconstructing the membrane detection of a 1D electrostatic-driven MEMS device by the shooting method: convergence analysis and ghost solutions identification

Cites Work

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• A generalized variational model of magneto-thermo- elasticity for nonlinearly magnetized ferroelastic bodies
• Global existence for nonlocal MEMS
• Magneto-thermo-elasticity of an electroconductive circular cylindrical shell featuring nonlinear deformations
• Magneto-thermo-elastic waves in an infinite perfectly conducting elastic solid with energy dissipation
• Direct and inverse problems related to MEMS

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