Trapping elastic waves by a semi-infinite cylinder with partly fixed surface

DOI10.1134/S0037446620010115zbMath1454.35240OpenAlexW3007751402MaRDI QIDQ2191346

Sergueï A. Nazarov

Publication date: 24 June 2020

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446620010115

zbMATH Keywords

eigenfrequencies3D mixed boundary value problemanisotropic cylindrical waveguideshape of the clamping zonetime harmonic oscillations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• The Mandelstam energy radiation conditions and the Umov-Poynting vector in elastic waveguides
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Elliptic problems in domains with piecewise smooth boundaries
• Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
• Über das asymptotische Verhalten der Lösungen von \(\Delta u+\lambda u=0\) in unendlichen Gebieten
• Affine Transforms of Three-Dimensional Anisotropic Media and Explicit Formulas for Fundamental Matrices
• Properties of Spectra of Boundary Value Problems in Cylindrical and Quasicylindrical Domains
• Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities
• [Russian Text Ignored.]
• The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes
• Elastic waves trapped by a homogeneous anisotropic semicylinder
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