No touchdown at points of small permittivity and nontrivial touchdown sets for the MEMS problem

zbMath1444.35104arXiv1706.04375MaRDI QIDQ2178052

Carlos Esteve, Philippe Souplet

Publication date: 7 May 2020

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.04375

zbMATH Keywords

quenchingstability propertytouchdown timemicro-electromechanical devicepermissivitytouchdown pointtouchdown set

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Electromagnetic effects in solid mechanics (74F15) Membranes (74K15) PDEs in connection with mechanics of deformable solids (35Q74) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Singular parabolic equations (35K67)

Related Items (3)

On semilinear elliptic equation with negative exponent arising from a closed MEMS model ⋮ Radial symmetric stationary solutions for a MEMS type reaction-diffusion equation with spatially dependent nonlinearity ⋮ Radial single point rupture solutions for a general MEMS model

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