11 papers
Existence of large-data global weak solutions to a model of a strain-limiting viscoelastic body
Miroslav Bulíček, Victoria Patel, Yasemin Şengül +1
We prove the existence of a unique large-data global-in-time weak solution to a class of models of the form for viscoelast…
On incompressible heat-conducting viscoelastic rate-type fluids with stress-diffusion and purely spherical elastic response
Miroslav Bulíček, Josef Málek, Vít Průša +1
We prove the existence of large-data global-in-time weak solutions to an evolutionary PDE system describing flows of incompressible \emph{heat-conducting} viscoelastic rate-type fl…
Uniform Hölder-norm bounds for finite element approximations of second-order elliptic equations
Lars Diening, Toni Scharle, Endre Süli
We develop a discrete counterpart of the De Giorgi-Nash-Moser theory, which provides uniform Hölder-norm bounds on continuous piecewise affine finite element approximations of seco…
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…
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…
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…