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

Matteo Capoferri, Isabel Mann

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
JournalProceedings of the Royal Society of Edinburgh Section A: Mathematics
Publication statusAccepted/In press - 26 Apr 2024

Keywords

  • elasticity
  • eigenvalue counting function
  • Dirichlet conditions
  • free boundary conditions
  • mixed boundary conditions

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