Invariant manifolds describing the dynamics of a hyperbolic–parabolic equation from nonlinear viscoelasticity

DOI10.1080/14689360600821828zbMath1124.34029OpenAlexW2069698961MaRDI QIDQ3424249

J. Patrick Wilber

Publication date: 15 February 2007

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360600821828

zbMATH Keywords

singular perturbationsslow manifold

Mathematics Subject Classification ID

Nonlinear constitutive equations for materials with memory (74D10) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15)

Related Items (4)

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 ⋮ The asymptotic problem for the springlike motion of a heavy piston in a viscous gas ⋮ The asymptotics of heavily burdened viscoelastic rods

Cites Work

• The motion of a particle on a light viscoelastic bar: asymptotic analysis of its quasilinear parabolic-hyperbolic equation.
• The parabolic-hyperbolic system governing the spatial motion of nonlinearly viscoelastic rods
• Absorbing balls for equations modeling nonuniform deformable bodies with heavy rigid attachments
• Quasilinear hyperbolic-parabolic equations of one-dimensional viscoelasticity
• The Paradoxical Asymptotic Status of Massless Springs
• Ordinary Differential Equations
• Global attractors for degenerate partial differential equations from nonlinear viscoelasticity

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