Spectral analysis of a viscoelasticity problem

DOI10.1134/S0965542518110179zbMath1428.35583OpenAlexW2903471813MaRDI QIDQ2416756

Dmitriĭ A. Zakora

Publication date: 24 May 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542518110179

zbMATH Keywords

spectrumessential spectrumintegro-differential equationasymptotic behavior of eigenvaluesviscolelastic body

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Nonlinear constitutive equations for materials with memory (74D10) PDEs in connection with mechanics of deformable solids (35Q74) Integro-partial differential equations (35R09)

Related Items (2)

The problem of normal oscillations of a viscous stratified fluid with an elastic membrane ⋮ On small motions of hydrodynamic systems containing a viscoelastic fluid

Cites Work

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• Asymptotic behavior of the spectrum of differential equations
• Classes of linear operators. Vol. I
• The essential spectrum of elliptic systems of mixed order
• Asymptotic distribution of the spectrum of a linear sheaf perturbed by an analytic operator-valued function
• Well-Posedness and Spectral Analysis of Hyperbolic Volterra Equations of Convolution Type
• Evolutionary Integral Equations and Applications

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