Open Access Research

Approximate symmetries in nonlinear viscoelastic media

Marianna Ruggieri1* and Antonino Valenti2

Author Affiliations

1 Facoltà di Ingegneria e Architettura, Università di Enna ‘Kore’, Cittadella Universitaria, Enna, 94100, Italy

2 Dipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria 6, Catania, 95125, Italy

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Boundary Value Problems 2013, 2013:143  doi:10.1186/1687-2770-2013-143

Published: 10 June 2013

Abstract

Approximate symmetries of a mathematical model describing one-dimensional motion in a medium with a small nonlinear viscosity are studied. In a physical application, the approximate solution is calculated making use of the approximate generator of the first-order approximate symmetry.

MSC: 35J25, 32A37, 43A15, 35A58, 42B20.

Keywords:
existence; uniqueness and stability of solutions; partial differential equations; approximate method