4 papers · 1 filter
Asymptotic Analysis of a bi-monomeric nonlinear Becker-D{ö}ring system
Marie Doumic, Klemens Fellner, Mathieu Mezache +1
To provide a mechanistic explanation of sustained {then} damped oscillations observed in a depolymerisation experiment, a bi-monomeric variant of the seminal Becker-Döring system h…
Entropy methods and convergence to equilibrium for volume-surface reaction-diffusion systems
Klemens Fellner, Bao Quoc Tang
We consider two volume-surface reaction-diffusion systems arising from cell biology. The first system describes the localisation of the protein Lgl in the asymmetric division of Dr…
On the finite time blow-up for filtration problems with nonlinear reaction
Klemens Fellner, Evangelos Latos, Giovanni Pisante
We present results for finite time blow-up for filtration problems with nonlinear reaction under appropriate assumptions on the nonlinearities and the initial data. In particular,…
A Drift-Diffusion-Reaction Model for Excitonic Photovoltaic Bilayers: Asymptotic Analysis and A 2-D HDG Finite-Element Scheme
Daniel Brinkman, Klemens Fellner, Peter A. Markowich +1
We present and discuss a mathematical model for the operation of bilayer organic photovoltaic devices. Our model couples drift-diffusion-recombination equations for the charge carr…