7 papers · 1 filter
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…
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…
A Mixed Discrete-Continuous Fragmentation Model
Graham Baird, Endre Süli
Motivated by the occurrence of "shattering" mass-loss observed in purely continuous fragmentation models, this work concerns the development and the mathematical analysis of a new…
McKean-Vlasov diffusion and the well-posedness of the Hookean bead-spring-chain model for dilute polymeric fluids: small-mass limit and equilibration in momentum space
Endre Süli, Ghozlane Yahiaoui
We reformulate a general class of classical bead-spring-chain models for dilute polymeric fluids, with Hookean spring potentials, as McKean-Vlasov diffusion. This results in a coup…