Department of Mathematics, TU Munich
Email: bastian.hilder [at] tum.de
I am a mathematician interested in partial differential equations, dynamical systems and pattern formation.
Since January 2024, I am a postdoc at the Chair for Multiscale and Stochastic Dynamics (TU Munich) in the group of Christian Kühn. Recently, I obtained a Walter Benjamin grant from the German Research Foundation (DFG) for a two-year project on 'Nonlinear Waves and pattern formation in advective systems' at TU Munich.
In my research, I focus on understanding the behaviour of dynamical systems characterised by a multiscale structure. My focus is particularly on systems that exhibit coherent structures, such as pattern formation and nonlinear waves. These multiscale phenomena are pervasive not only in natural contexts but also in various engineering applications. Specifically, they manifest in fluid dynamical systems such as water waves, temperature-driven free-surface flows, active fluids, and (the transition to) turbulent flows. A central theme of my research is to mathematically interpret phenomena observed either experimentally or numerically in these natural systems.
From December 2021 to November 2023, I was a post-doctoral fellow at the Centre for Mathematical Sciences (Lund University) in the group of Erik Wahlén. During my postdoc, I also had an extended research stay at Institute Mittag-Leffler between September 2023 and December 2023 in the program "Order and Randomness in PDEs". From October 2017 to November 2021, I was a PhD student at the Institute of Analysis, Dynamics and Modeling (University of Stuttgart) under the supervision of Guido Schneider. Prior, I completed my Master's degree in a double degree program at the Eindhoven University of Technology and the University of Stuttgart, for which I wrote my Master's thesis under the supervision of Mark Peletier.