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Analysis of Incompressible Viscoelastic Fluids

By Fanghua Lin, NYU and NYU Shanghai

One of the common origin and manifestations of anomalous phenomena in complex fluids are different "elastic" effects. Many rheological and hydrodynamic properties of such fluids can be attributed to the special coupling between the transportation of the internal variables and the induced elastic stress. One of the best examples is that of Oldroyd model for viscoelastic fluids. In this talk, I shall discuss briefly some recent analytic studies on the Oldroyd model.