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math.AP2019
Well-posedness of the fractional Zener wave equation for heterogenous viscoelastic materials
Ljubica Oparnica, Endre Süli
We explore the well-posedness of the fractional version of Zener's wave equation for viscoelastic solids, which is based on a constitutive law relating the stress tensor $\boldsymb…
math.AP2019
The incompressible limit of compressible finitely extensible nonlinear bead-spring chain models for dilute polymeric fluids
Endre Süli, Aneta Wróblewska-Kamińska
We explore the behaviour of global-in-time weak solutions to a class of bead-spring chain models, with finitely extensible nonlinear elastic (FENE) spring potentials, for dilute po…
math.NA2019
Numerical Analysis of Unsteady Implicitly Constituted Incompressible Fluids: Three-Field Formulation
Patrick E. Farrell, Pablo Alexei Gazca-Orozco, Endre Süli
In the classical theory of fluid mechanics a linear relationship between the shear stress and the symmetric velocity gradient tensor is often assumed. Even when a nonlinear relatio…