Global existence for a nonlinear model of 1D chemically reacting viscoelastic body

Abstract

In this paper we show existence of a global classical solution to a quasilinear hyperbolic integrodifferential equation of non-convolutionary type for small data. We apply the result to show global existence for a one-dimensional model of a chemically reacting viscoelastic body.

Keywords

• nonconvolution integral equation
• quasilinear hyperbolic integral equations
• chemically reacting viscoelastic materials