Existence and Decay of Solutions of a Nonlinear Viscoelastic Problem with a Mixed Nonhomogeneous Condition

DOI10.1080/01630560802605955zbMath1162.35053arXiv0705.3959OpenAlexW1964648231MaRDI QIDQ5504837

Le Xuan Truong, Pham Ngoc Dinh, Alain, Nguyen Thanh Long

Publication date: 22 January 2009

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.3959

zbMATH Keywords

nonlinear wave equationexponential decayFaedo-Galerkin methodcontraction mapping theoremviscoelastic

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Integro-partial differential equations (45K05) Second-order nonlinear hyperbolic equations (35L70) Nonlinear constitutive equations for materials with memory (74D10) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (2)

Numerical results for a fourth‐order nonlinear wave equation of Kirchhoff type with a viscoelastic term ⋮ Continuous dependence and general decay of solutions for a wave equation with a nonlinear memory term.

Cites Work

• A wave equation associated with mixed nonhomogeneous conditions: global existence and asymptotic expansion of solutions
• Existence and asymptotic expansion for a viscoelastic problem with a mixed nonhomogeneous condition
• Existence and decay of solutions of a viscoelastic equation with a nonlinear source
• On a shock problem involving a nonlinear viscoelastic bar
• On a shock problem involving a linear viscoelastic bar
• Mathematical model for a shock problem involving a linear viscoelastic bar
• Linear recursive schemes and asymptotic expansion associated with the Kirchhoff-Carrier operator

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