Affiliations: Laboratoire d'analyse et de mathématiques appliquées, CNRS et Université Paris XII – Val de Marne, 61, avenue du Général de Gaulle, 94010 Créteil cedex, France E‐mail: guillope@univ‐paris12.fr | Département de mathématiques, Faculté des sciences, Section I, Université Libanaise, BP 13 6292 Chouran, Beyrouth, Liban E‐mail: [email protected], [email protected]
Note: [] Corresponding author.
Abstract: In this paper, we study the behaviour, in terms of compressibility, of steady flows of weakly compressible viscoelastic fluids having a differential constitutive law. The models considered here are Jeffreys' and Maxwell's. In both cases, we establish the existence of an asymptotic expansion in the neighbourhood of the steady incompressible fluid flow, with respect to the vanishing isothermal compressibility coefficient.
