Large Time Behavior of Solutions to Nonlinear Viscoelastic Model with Fading Memory

Academic Article

Abstract

  • We study the Cauchy problem of a one-dimensional nonlinear viscoelastic model with fading memory. By introducing appropriate new variables we convert the integro-partial differential equations into a hyperbolic system of balance laws. When it is a perturbation of a constant state, the solution is shown time asymptotically approaching to predetermined diffusion waves. Pointwise estimates on the convergence details are obtained. © 2012 Wuhan Institute of Physics and Mathematics.
  • Authors

    Published In

    Digital Object Identifier (doi)

    Author List

  • Zeng Y
  • Start Page

  • 219
  • End Page

  • 236
  • Volume

  • 32
  • Issue

  • 1