83 citations · 462 across the 52 of their papers we have counts for
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Finite element approximation of steady flows of generalized Newtonian fluids with concentration-dependent power-law index
Seungchan Ko, Endre Suli
We consider a system of nonlinear partial differential equations describing the motion of an incompressible chemically reacting generalized Newtonian fluid in three space dimension…
PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion
Miroslav Bulíček, Josef Málek, Vít Průša +1
We establish the long-time existence of large-data weak solutions to a system of nonlinear partial differential equations. The system of interest governs the motion of non-Newtonia…
Thermodynamics of viscoelastic rate-type fluids with stress diffusion
Josef Málek, Vít Průša, Tomáš Skřivan +1
We propose thermodynamically consistent models for viscoelastic fluids with a stress diffusion term. In particular, we derive variants of compressible/incompressible Maxwell/Oldroy…
Finite element approximation of an incompressible chemically reacting non-Newtonian fluid
Seungchan Ko, Petra Pustejovská, Endre Süli
We consider a system of nonlinear partial differential equations modelling the steady motion of an incompressible non-Newtonian fluid, which is chemically reacting. The governing s…
Existence of global weak solutions to the kinetic Hookean dumbbell model for incompressible dilute polymeric fluids
John W. Barrett, Endre Süli
We explore the existence of global weak solutions to the Hookean dumbbell model, a system of nonlinear partial differential equations that arises from the kinetic theory of dilute…
Regularity and approximation of strong solutions to rate-independent systems
Filip Rindler, Sebastian Schwarzacher, Endre Süli
Rate-independent systems arise in a number of applications. Usually, weak solutions to such problems with potentially very low regularity are considered, requiring mathematical tec…