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<p>We construct the asymptotics of eigenpairs of the elasticity theory system in a three-dimensional domain with the Winkler–Steklov spectral boundary conditions at several small parts (the contact blots) and the Neumann (traction-free) conditions at the remaining part of the boundary. The asymptotic structures are essentially dependent on the distribution of the blots and the elastic or springy type of the contact. Various examples are considered and open questions are formulated. Bibliography: 23 titles.</p>

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ASYMPTOTICS OF EIGENVALUES OF PROBLEM IN ELASTICITY THEORY WITH SPECTRAL WINKLER–STEKLOV BOUNDARY CONDITIONS ON SMALL PARTS OF BOUNDARY

  • 期刊论文

  • 发表日期：

    2026年3月24日

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  • S. A. Nazarov

摘要

We construct the asymptotics of eigenpairs of the elasticity theory system in a three-dimensional domain with the Winkler–Steklov spectral boundary conditions at several small parts (the contact blots) and the Neumann (traction-free) conditions at the remaining part of the boundary. The asymptotic structures are essentially dependent on the distribution of the blots and the elastic or springy type of the contact. Various examples are considered and open questions are formulated. Bibliography: 23 titles.