Determination of Asymptotic Waves in Maxwell Media by Double-Scale Method

Abstract

In this paper, in a thermodynamical model of a rheological medium (Maxwell) with one internal variable, derived in the framework of classical irreversible thermodynamics, the asymptotic smooth waves, studied in (1) in a more classical way, are introduced from the point of view of double scale method (see (2)). We give a physical interpretation of the new (fast) variable, related to the surface across which the derivatives of the solution vary steeply. An one-dimensional application is carried out too.