Cauchy problem for the equation of torsional vibrations of a rod in a viscoelastic medium

DOI10.1134/S00122661200100110zbMath1452.74052OpenAlexW3101230457MaRDI QIDQ2212362

Kh. G. Umarov

Publication date: 23 November 2020

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s00122661200100110

zbMATH Keywords

Sobolev spaceexistenceuniquenessfinite-time blow-up

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Linear constitutive equations for materials with memory (74D05) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

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• Semigroups of operators, cosine operator functions, and linear differential equations
• Cauchy problem of the generalized double dispersion equation
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• Model equations for long waves in nonlinear dispersive systems

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