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arXiv · 2311.18652

Spectral asymptotics for linear elasticity: the case of mixed boundary conditions

Matteo Capoferri·Isabel Mann
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Abstract

We establish two-term spectral asymptotics for the operator of linear elasticity with mixed boundary conditions on a smooth compact Riemannian manifold of arbitrary dimension. We illustrate our results by explicit examples in dimension two and three, thus verifying our general formulae both analytically and numerically.

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BibTeXRIS

Matteo Capoferri, Isabel Mann. 2023-11-30. Spectral asymptotics for linear elasticity: the case of mixed boundary conditions. https://doi.org/10.1017/prm.2024.65

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