Perturbation of eigenvalues due to gaps in two-dimensional boundaries

DOI10.1098/rspa.2006.1796zbMath1165.35421OpenAlexW2098571945MaRDI QIDQ5438816

Stefan G. Llewellyn Smith, Anthony M. J. Davis

Publication date: 8 February 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://escholarship.org/uc/item/9rr266p8

zbMATH Keywords

diffusionperturbationasymptotic expansionseigenvalue problemsgap problempatch problem

Mathematics Subject Classification ID

Diffusion (76R50) Reaction-diffusion equations (35K57) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (3)

The split ring resonator ⋮ Eigenmodes of lined flow ducts with rigid splices ⋮ Narrow escape in composite domains forming heterogeneous networks

Uses Software

• Matlab
• PLTMG
• Differentiation Matrix Suite

Cites Work

• Unnamed Item
• Asymptotics beyond all orders for a low Reynolds number flow
• Strong Localized Perturbations of Eigenvalue Problems
• Summing Logarithmic Expansions for Singularly Perturbed Eigenvalue Problems
• Two-dimensional resonators with small openings
• The Accurate Numerical Inversion of Laplace Transforms
• Windows of given area with minimal heat diffusion
• An Asymptotic Study of Oxygen Transport from Multiple Capillaries to Skeletal Muscle Tissue
• A Hybrid Asymptotic-Numerical Method for Low Reynolds Number Flows Past a Cylindrical Body
• Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps

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