Guillopé, Colette; Saut, Jean-Claude Résultats d’existence pour des fluides viscoélastiques à loi de comportement de type différentiel. (Existence results for viscoelastic fluids with a differential constitutive law). (French) Zbl 0624.76008 C. R. Acad. Sci., Paris, Sér. I 305, 489-492 (1987). Viscoelastic fluids which obey an Oldroyd type constitutive law with retardation time are considered. For the mixed Cauchy problem with homogeneous Dirichlet conditions, the local existence of smooth solutions is shown. Then a global existence result for solutions with small data is proved. Cited in 7 Documents MSC: 76A10 Viscoelastic fluids Keywords:Oldroyd type constitutive law; retardation time; mixed Cauchy problem; homogeneous Dirichlet conditions; local existence of smooth solutions; global existence PDF BibTeX XML Cite \textit{C. Guillopé} and \textit{J.-C. Saut}, C. R. Acad. Sci., Paris, Sér. I 305, 489--492 (1987; Zbl 0624.76008) OpenURL