Research Page
Nonlinear Eigenvalue Problems of MEMS
description to be written; pictures and movies
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Touchdown and Pull-In Voltage Behavior of a MEMS Device with Varying
Dielectric Properties
with Y. Guo and Z. Pan (SIAM J. Appl. Math., Vol. 66, No. 1, (2006),
pp. 309-338.)
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Asymptotics of Some Nonlinear Eigenvalue Problems for a MEMS Capacitor:
Part I: Fold Point Asymptotics
with A. Lindsay (Methods and Applications of Analysis, Vol. 15, No. 3,
(2008), pp. 297-326.)
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Asymptotics of Some Nonlinear Eigenvalue Problems for a MEMS Capacitor:
Part II: Multiple Solutions and Singular Asymptotics
with A. Lindsay (Europ. J. Appl. Math., Vol. 22, No. 2, (2010), pp.
83-123.)
- Asymptotic Analysis of Localized
Solutions to Some Linear and Nonlinear Biharmonic Eigenvalue Problems
with A. Lindsay and M.C. Kropinski (Studies in Appl. Math.,
Vol. 126, No. 4, (2011), pp. 347-408).