4 papers · 1 filter
On the well-posedness of a nonlocal kinetic model for dilute polymers with anomalous diffusion
Marvin Fritz, Endre Süli, Barbara Wohlmuth
In this work, we study a class of nonlocal-in-time kinetic models of incompressible dilute polymeric fluids. The system couples a macroscopic balance of linear momentum equation wi…
Weak sequential stability of solutions to a nonisothermal kinetic model for incompressible dilute polymeric fluids
Miroslav Bulíček, Josef Málek, Endre Süli
The paper is concerned with the mathematical analysis of a class of thermodynamically consistent kinetic models for nonisothermal flows of dilute polymeric fluids, based on the ide…
On Korn inequalities with lower order trace terms
Franz Gmeineder, Endre Süli, Tabea Tscherpel
We give an elementary estimate that entails and generalises numerous Korn inequalities scattered in the literature. As special instances, we obtain general Korn-type inequalities i…
A nonnegativity-preserving finite element method for a class of parabolic SPDEs with multiplicative noise
Ana Djurdjevac, Claude Le Bris, Endre Süli
We consider a prototypical parabolic SPDE with finite-dimensional multiplicative noise, which, subject to a nonnegative initial datum, has a unique nonnegative solution. Inspired b…