Approximate Analysis of a Nonlinear Dissipative Model

View at Publisher|Richiedilo alla tua Biblioteca SBA(opens in a new window)| Export | Download | Add to List | More... Acta Applicandae Mathematicae Volume 132, Issue 1, 1 August 2014, Pages 549-559 Approximate Analysis of a Nonlinear Dissipative Model (Article) Ruggieri, M.a , Speciale, M.P.b a Kore University of Enna, Via delle Olimpiadi, Enna, Italy b Department of Mathematics and Computer Science, University of Messina, viale F. Stagno d’Alcontres 31, Messina, Italy View references (22) Abstract From the approximate symmetry point of view, a perturbed system of partial differential equations (PDEs) for viscoelastic media is investigated. The corresponding complete approximate symmetry classification is derived and a fundamental task of the paper is the proof of a theorem that explores the relationship between the symmetries of our model and other models. In some physical cases, approximate solutions are computed by means of the approximate generator of the first order approximate group of transformations. © 2014, Springer Science+Business Media Dordrecht.