© private

Name: Mingyue ZHANG
Current position: Postdoc in biological mathematics
Starting date: October 2025
Supervisor: Prof. Ansgar JÜNGEL

I joined the group of Prof. Ansgar Jüngel at TU Wien in October, working on the well-posedness and asymptotic limits of a class of chemotactic nonlinear partial differential equations. My PhD thesis was defended in July under the supervision of Prof. Benoît PERTHAME at the Laboratoire Jacques-Louis Lions. In my thesis, we focus on a PDE model for chemotaxis—the directed movement of cells and organisms in response to chemical gradients, serving as a fundamental guidance mechanism in biology. More precisely, we study the Patlak–Keller–Segel system with a porous-medium-type nonlinear diffusion and logistic sensitivity, which has been widely advocated as a model that avoids overcrowding. We analyse its pattern-formation capability, establish the relevant regimes, and classify the possible distinguished limits.

Every moment at TU Wien has been wonderful, as people here are friendly and inclusive. My goal at TU Wien is to ensure that I can never be replaced by AI. But if that day ever comes, I will applaud the brilliance of human ingenuity.