The asymptotics of heavily burdened viscoelastic rods

DOI10.1090/S0033-569X-2012-01325-0zbMath1250.35022MaRDI QIDQ2911106

Süleyman Ulusoy, Stuart S. Antman

Publication date: 12 September 2012

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Faedo-Galerkin methodquasilinear parabolic-hyperbolic systeminitial-layer expansion

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Initial-boundary value problems for higher-order parabolic equations (35K35) Singular perturbations in context of PDEs (35B25) Large-strain, rate-dependent theories of plasticity (74C20) Asymptotic expansions of solutions to PDEs (35C20) Nonlinear constitutive equations for materials with memory (74D10) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items

Asymptotics and attractors for quasilinear parabolic-hyperbolic systems governing the motions of heavily burdened deformable bodies ⋮ Global attractors for quasilinear parabolic-hyperbolic equations governing longitudinal motions of nonlinearly viscoelastic rods ⋮ Radially symmetric motions of nonlinearly viscoelastic bodies under live loads

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