Jun.Prof. Jan Heiland

Broadly speaking, I investigate control problems that are formulated for so called differential-algebraic equations (DAEs), i.e. systems of equations where the variables have to obey both differential and algebraic relations. Beside from general statements about existence of solutions, I work on formulations that are beneficial for the approximate solution of the problems on the computer.

When it comes to solving complex problems on the computer, models of reduced order - a second research interest of mine - are necessary.

Over the last years, data-driven approaches, i.e. methods that extract properties or complete models from data, have become more and more important in my research.

The class of equations, I consider, contain the Navier-Stokes equations that are widely used for modelling and simulating flow phenomena.