Esther Daus

Esther Daus is a researcher affiliated with the Department of Analysis at TU Wien. Her primary research focuses on cross-diffusion systems, partial differential equations (PDEs), and their applications in biomathematics and stochastic processes. She specializes in deriving macroscopic models from microscopic particle systems, particularly in the context of biofilm growth, interacting particle systems, and fractional diffusion phenomena. Her work bridges applied mathematics with computational science, addressing challenges in numerical methods for degenerate PDEs and stochastic algorithms. Key contributions include rigorous analysis of cross-diffusion limits, finite-volume scheme convergence, and long-time behavior of nonlocal equations. She has advised PhD candidates Markus Fellner and Alexandra Holzinger on cross-diffusion and population dynamics modeling.