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Multiscale wrinkling dynamics in epithelial shells

open access: yes
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M-slenderness

Israel Journal of Mathematics, 2017
A subgroup \(M\) of \(\mathbb{Z}^{\omega }\) is \textit{monotone} if whenever \( x,y\in \mathbb{Z}^{\omega}\), \(x\preceq y\) and \(y\in M\), then \(x\in M\).
Kolman, Oren, Wald, Burkhard
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Eigenvalues of slender cavities and waves in slender tubes

The Journal of the Acoustical Society of America, 1983
An asymptotic method is used to find the eigenvalues and eigenfunctions of the reduced wave equation in slender cavities, and to find the modes of propagation in slender tubes. The results for the eigenvalues of prolate spheroids are found to be in good agreement with those computed numerically by Chang.
Geer, James F., Keller, Joseph B.
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