Matthias Liero

Matthias Liero is the acting head of the Partial Differential Equations Research Group at the Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, and a member of the Berlin Mathematical School (BMS) Postdoctoral Faculty. His research focuses on variational methods for evolution equations, continuum mechanics, modeling semiconductor devices, and optimal transport. He leads projects funded by MATH+, including strain engineering for functional heterostructures and modeling battery electrodes with mechanical interactions.

Teaching responsibilities at Humboldt University include advanced courses on optimal transport, calculus of variations, and partial differential equations. He collaborates extensively on interdisciplinary projects, such as electrothermal modeling of organic LEDs and energy-based mathematical methods for multiphase flows. His work bridges applied mathematics, physics, and engineering, emphasizing thermodynamically consistent models and rigorous analytical methods.

Notable contributions include developing p(x)-Laplace thermistor models for organic semiconductor devices and advancing the Hellinger-Kantorovich distance in optimal transport theory. Current research explores nonlinear PDEs, phase transitions, and material degradation in energy systems.