AN APPLICATION OF DOUBLE-SCALE METHOD TO THE STUDY OF NON-LINEAR DISSIPATIVE WAVES IN JEFFREYS MEDIA

Content Provider	Open Access Library (OALib)
Author	Adelina Georgescu Liliana Restuccia
Abstract	In previous papers we sketched out the general use of the doublescalemethod to nonlinear hyperbolic partial differential equations(PDEs) in order to study the asymptotic waves and as an examplethe model governing the motion of a rheological medium (Maxwellmedium) with one mechanical internal variable was studied. In thispaper the double scale method is applied to investigate non-linear dissipative waves in viscoanelastic media without memory of order one(Jeffreys media), that were studied by one of the authors (L. R.) inmore classical way. For these media the equations of motion includesecond order derivative terms multiplied by a very small parameter. We give a physical interpretation of the new (fast) variable, related to the surfaces across which the solutions or/and some of their derivatives vary steeply. The paper concludes with one-dimensional application containing original results.
ISSN	20665997
Journal	Mathematics and its Applications : Annals of the Academy of Romanian Scientists
Publisher	Academy of Romanian Scientists Publishing House
Publisher Date	2011-01-01
Access Restriction	Open
Subject Keyword	Double-scale method Non-linear dissipative waves Partial differential equations Asymptotic methods Rheological media.
Content Type	Text
Resource Type	Article
Subject	Mathematics