Bárta, Tomáš^[1]

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

Pages: 399-423
Received: 19 August 2013   
Accepted: 18 December 2013
Mathematics Subject Classification (2010): 45K05, 45G10, 74D10.

Keywords: Nonconvolution integral equation, quasilinear hyperbolic integral equations, chemically reacting viscoelastic materials.
Author address:
[1] : Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Prague, Sokolovska 83, 180 00 Prague 8, Czech Republic

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.

This work is supported by GACR 201/09/0917. Author is a researcher in the University Centre for Mathematical Modeling, Applied Analysis and Computational Mathematics (Math MAC) and a member of the Necas Center for Mathematical Modeling.

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