The Delft Institute for Applied Mathematics (DIAM) at Delft University of Technology (TU Delft) invites applications for a full-time PhD position in the field of mathematical analysis of partial differential equations (PDEs). The PhD candidate will be supervised by Dr. H. Yoldaş.

The research topics primarily revolves around PDEs stemming from structured population dynamics and kinetic theory. Examples of such equations include growth-fragmentation equations, run and tumble equations that model bacterial movement, and classical kinetic equations in gas theory, including the Boltzmann equation. For more insights into the research, please visit the Research & Publications of Dr. H. Yoldaş’s webpage.

As a PhD student in this position, you will investigate the qualitative and quantitative aspects of these PDEs employing a diverse range of mathematical tools from PDE theory, functional analysis and probability theory. The specific research direction will be tailored to your background and interests, potentially encompassing topics such as well-posedness, long-term behavior analysis of PDEs, deriving PDEs from particle systems, and numerical analysis.

The appointment is for a duration of 48 months. The earliest starting date is December 1, 2023.