Existence and asymptotic expansion for a viscoelastic problem with a mixed nonhomogeneous condition

DOI10.1016/j.na.2006.06.044zbMath1120.35071OpenAlexW2082887759MaRDI QIDQ881617

Nguyen Thanh Long, Le Xuan Truong

Publication date: 30 May 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.06.044

zbMATH Keywords

global solutionsFaedo-Galerkin methodviscoelastic problemenergy-type estimatesexistence and uniqueness of a weak solution

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (45K05) Second-order nonlinear hyperbolic equations (35L70) Asymptotic expansions of solutions to PDEs (35C20)

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Cites Work

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• On the nonlinear wave equation uu - uxx = f(x,t,u,ux,ut) associated with the mixed homogenous conditions
• A semilinear wave equation associated with a linear differential equation with Cauchy data
• 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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