2015
DOI: 10.1080/03605302.2015.1105259
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A qualitative analysis of solutions to microelectromechanical systems with curvature and nonlinear permittivity profile

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Cited by 6 publications
(8 citation statements)
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“…But, moreover, in the case where the permittivity profile p depends on u, this assumption on ψ zz is also necessary in order to verify the occurrence of finite-time singularities, even if we already know that u(t, x) ≤ 0, c.f. the proof of [11,Theorem 3.4] 6. Numerical results.…”
Section: 2mentioning
confidence: 99%
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“…But, moreover, in the case where the permittivity profile p depends on u, this assumption on ψ zz is also necessary in order to verify the occurrence of finite-time singularities, even if we already know that u(t, x) ≤ 0, c.f. the proof of [11,Theorem 3.4] 6. Numerical results.…”
Section: 2mentioning
confidence: 99%
“…Further investigations of qualitative properties of MEMS systems may be found in [28,29,30]. In this survey we report on recent results obtained in [7,11,12,32,33,34], treating non-constant permittivity profiles p = p(x, u(t, x)), which may depend on the spatial variable x and the membrane's displacement u(t, x).…”
mentioning
confidence: 99%
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“…The case of a general permittivity profile without assuming a small aspect ratio is investigated in [Lie15,Lie16] for small deformations and in [EL16] for non-small defor-mations.…”
Section: Introductionmentioning
confidence: 99%
“…The therein developed techniques will help us to handle a quasi-linearity which arises due to the temperature in our model. The case of a general permittivity profile without assuming a small aspect ratio is investigated in [Lie15,Lie16] for small deformations and in [EL16] for non-small defor-mations.…”
Section: Introductionmentioning
confidence: 99%