On the spectrum of an integro-differential equation arising in viscoelasticity theory

DOI10.1007/s10958-012-0712-8zbMath1252.35270OpenAlexW2034318309WikidataQ115382391 ScholiaQ115382391MaRDI QIDQ1762532

V. V. Shumilova, Alexei S. Shamaev

Publication date: 27 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0712-8

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Integro-partial differential equations (35R09)

Related Items (6)

Spectrum of an integro-differential equation of fractional order ⋮ Problem of the boundary control of oscillations of a sample of a layered two-phase composite material ⋮ Spectrum of one-dimensional oscillations in the combined stratified medium consisting of a viscoelasticmaterial and a viscous compressible fluid ⋮ Numerical solution of variable-order fractional integro-partial differential equations via sinc collocation method based on single and double exponential transformations ⋮ Spectral analysis of integro-differential equations in viscoelasticity theory ⋮ Spectrum of one-dimensional eigenoscillations of a medium consisting of viscoelastic material with memory and incompressible viscous fluid

Cites Work

• Solvability and spectral analysis of integro-differential equations arising in the theory of heat transfer and acoustics
• On some problems in acoustics of emulsions
• Averaging the acoustics equations for a viscoelastic material with channels filled with a viscous compressible fluid
• Homogenizing the acoustic properties of the seabed. I
• Spectra of the Gurtin–Pipkin Type Equations

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