The Cauchy problem for the nonlinear long longitudinal waves equation in a viscoelastic rod

DOI10.1134/S0037446621010171zbMath1465.35298OpenAlexW3126711774MaRDI QIDQ2221973

Kh. G. Umarov

Publication date: 3 February 2021

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

Full work available at URL: https://doi.org/10.1134/s0037446621010171

zbMATH Keywords

global solutionblow-up of solutionSobolev-type equationslongitudinal waves in viscoelastic rod

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15) PDEs in connection with mechanics of deformable solids (35Q74) Blow-up in context of PDEs (35B44)

Related Items (2)

Solution blow-up and global solvability of the Cauchy problem for the equation of moderately long longitudinal waves in a viscoelastic rod ⋮ Unnamed Item

Cites Work

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• Cosine families and abstract nonlinear second order differential equations
• Blow-Up in Nonlinear Equations of Mathematical Physics
• On properties of solutions to the improved modified Boussinesq equation
• Model equations for long waves in nonlinear dispersive systems

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