activity
20092024
most citedImproved duality estimates and applications to reaction-diffusion equations

79 citations · 160 across the 23 of their papers we have counts for

collaborators

30 papers

math.AP2024

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…

math.AP2024

Lipolysis on Lipid Droplets: Mathematical Modelling and Numerical Discretisations

Reymart Salcedo-Lagunero, Klemens Fellner, Thomas Apel +2

Lipolysis is a life-essential metabolic process, which supplies fatty acids stored in lipid droplets to the body in order to match the demands of building new cells and providing c…

math.DS2022

The potential roles of transacylation in intracellular lipolysis and related QSSA approximations

Jan Elias, Klemens Fellner, Peter Hofer +3

Fatty acids (FAs) are crucial energy metabolites, signalling molecules, and membrane building blocks for a wide range of organisms. Adipose triglyceride lipase (ATGL) is the first…

math.AP2021

Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion

Klemens Fellner, Julian Fischer, Michael Kniely +1

The global existence of renormalised solutions and convergence to equilibrium for reaction-diffusion systems with non-linear diffusion are investigated. The system is assumed to ha…

math.AP2021★ 3 cited

Uniform convergence to equilibrium for a family of drift-diffusion models with trap-assisted recombination and self-consistent potential

Klemens Fellner, Michael Kniely

We investigate a recombination-drift-diffusion model coupled to Poisson's equation modelling the transport of charge within certain types of semiconductors. In more detail, we stud…

math.AP2019

Uniform-in-time bounds for quadratic reaction-diffusion systems with mass dissipation in higher dimensions

Klemens Fellner, Jeff Morgan, Bao Quoc Tang

Uniform-in-time bounds of nonnegative classical solutions to reaction-diffusion systems in all space dimension are proved. The systems are assumed to dissipate the total mass and t…