Klemens Fellner

Klemens Fellner is a Professor of Mathematics/Computational Sciences and Group Leader of the Applied Analysis Group at the Institute of Mathematics and Scientific Computing, University of Graz. His research focuses on the analysis of partial differential equations and mathematical modeling across physics, chemistry, and biology.

Research Interests: Prof. Fellner's work spans theoretical analysis of nonlinear PDEs (reaction-diffusion, kinetic, and non-local equations) using entropy/duality methods, with applications to:

• Biological systems (lipolysis, protein localization, stem-cell division)
• Physical processes (organic photovoltaics, semiconductor modeling)
• Collective behavior (swarming micro-organisms, aggregation dynamics)
• Interdisciplinary Mathematics-Arts collaborations

Publication Trends: His recent articles (2018-2021) demonstrate strong focus on:

• Global existence and regularity for reaction-diffusion systems
• Convergence to equilibrium via entropy methods
• Drift-diffusion models in semiconductor physics
• Mathematical biology applications (prion dynamics, lipolysis)
• Novel approaches for non-local aggregation and hysteresis phenomena

Research Leadership: Currently leads the Applied Analysis Group with members including postdocs and PhD students. Key projects:

• Doctoral School IGDK (International Graduate School)
• SFB Lipid Hydrolysis (Special Research Program)
• Mathematics and Arts collaborations
• Colibri research platform

Supervises PhD candidate Reymart Lagunero studying generalized reaction-diffusion systems.