Affiliation:
1. Centro de Matemática e Aplicações-CEMAT, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001, Lisboa, Portugal
Abstract
We study a system of nonlinear partial differential equations governing the motion of an incompressible viscoelastic fluid of Oldroyd type in a bounded domain, with a non-Newtonian viscosity depending on the second invariant of the rate of deformation tensor. Considering the equations in a suitably decomposed form, we establish, for small and suitably regular data, existence of a unique solution using a fixed point argument in an appropriate functional setting. This model includes the classical Oldroyd-B fluid as a particular case.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modelling and Simulation
Reference23 articles.
1. Rheology of non-Newtonian fluids: A new flow equation for pseudoplastic systems
2. An introduction to the mathematical theory of the Navier–Stokes equations;Galdi G. P.,1998
Cited by
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