André Henrik Erhardt
My research focuses on Partial Differential Equations (nonlinear PDEs), Calculus of Variations, Dynamical Systems and Applications in the Life Sciences.
In the field of Calculus of Variations and nonlinear PDEs I am working on existence and regularity theory for parabolic PDEs and obstacle problems. Here, I am interested amongst others in nonstandard growth problems motivated, e.g., by electro-rheological fluids.
Moreover, since 2014 I am extending my fields of interest to my second research area – dynamical systems, bifurcation theory, numerical bifurcation analysis and multiple time scale dynamics. One application is the mathematical and numerical investigation of cardiac arrhythmia in a cardiac muscle cell, e.g., the so-called early afterdepolarizations.
In general, I am interested in several applications and problems, e.g., from fluid mechanics or biology, modelled by differential equations, i.e., ODEs as well as PDEs. My research is focused on Pure and Applied Mathematics.
Some further information about my research you can find here: