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math.AP2023
Analysis of a dilute polymer model with a time-fractional derivative
Marvin Fritz, Endre Süli, Barbara Wohlmuth
We investigate the well-posedness of a coupled Navier-Stokes-Fokker-Planck system with a time-fractional derivative. Such systems arise in the kinetic theory of dilute solutions of…
math.AP2023
On a class of generalised solutions to the kinetic Hookean dumbbell model for incompressible dilute polymeric fluids: existence and macroscopic closure
Tomasz Dębiec, Endre Süli
We consider the Hookean dumbbell model, a system of nonlinear PDEs arising in the kinetic theory of homogeneous dilute polymeric fluids. It consists of the unsteady incompressible…
math.NA2023
Stable Lifting of Polynomial Traces on Triangles
Charles Parker, Endre Süli
We construct a right inverse of the trace operator on the reference triangle that maps suitable piecewise polynomial d…