Global existence for elastic waves with memory

DOI10.1007/s00205-004-0345-2zbMath1069.74025OpenAlexW2000114624MaRDI QIDQ556628

Bruno Rubino, Rosella Sampalmieri, Vladimir Georgiev

Publication date: 22 June 2005

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-004-0345-2

zbMATH Keywords

Cauchy problemnonlinear viscoelasticitypolynomial decay

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Nonlinear constitutive equations for materials with memory (74D10) Existence of solutions of dynamical problems in solid mechanics (74H20)

Related Items

Global existence for nonlinear elastic waves in high space dimensions ⋮ Stability for a Coupled System of Second-Order Evolution Equations with Indirect Memory-Damping ⋮ Distributed-order fractional constitutive stress-strain relation in wave propagation modeling ⋮ Finite time blow-up for damped wave equations with space-time dependent potential and nonlinear memory ⋮ General decay for a viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping, dynamic boundary conditions and a time-varying delay term ⋮ Integro-differential equations of hyperbolic type with positive definite kernels ⋮ Global existence of solutions to some semilinear integro-differential evolution equations with sign-varying kernels ⋮ Quasistatic anti-plane motion in the simplest theory of nonlinear viscoelasticity ⋮ Uniform polynomial stability of second order integro-differential equations in Hilbert spaces with positive definite kernels

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