Viscoelastic flows of Maxwell fluids with conservation laws

This article addresses the low Weissenberg asymptotic analysis (Newtonian limit) of some macro- scopic models of viscoelastic uid ows in the framework of global weak solutions..

We believe that we have thereby unified, for the first time, the derivation of many various thin-layer reduced models for shallow free-surface gravity flows, for Newtonian

We have proposed a new reduced model for the motion of thin layers of viscoelastic fluids (shallow viscoelastic flows) that are described by the upper-convected Maxwell model and

Dans le cadre de cette ´etude, nous utilisons l’assimilation variationnelle de donn´ees pour l’estimation de param`etres, des conditions initiales et conditions aux limites

The other main contributions are a novel formulation of the requirements on the strain rate-shear stress function allowing a unified treatment of pseudoplastic and dilatant fluids

In the present work, we propose a multi-dimensional symmetric-hyperbolic system of conservation laws to model flows of (compressible) viscoelastic fluids of Maxwell type, which

4 S´ebastien Boyaval However, note that the vacuum state h = 0 shall never be reached as a limit state by any sequence of admissible Riemann solutions when G > 0, as opposed to

In this work, we use the simplified Saint-Venant framework for hydrostatic 2D (shallow) free-surface flows to propose and study quasilinear systems such that: (i) they