The group contributes to the following mathematical research topics of WIAS:
Optimal control of partial differential equations and nonlinear optimizationMany processes in nature and technics can only be prescribed by partial differential equations,e.g. heating- or cooling processes, the propagation of acoustic or electromagnetic waves, fluid mechanics. Additionally to challenges in modeling, in various applications the manipulation or controlling of the modeled system is also of interest in order to obtain a certain purpose... [>> more]
Systems of partial differential equations: modeling, numerical analysis and simulationThe mathematical modelling of many scientific and technological problems leads to (initial) boundary value problems with systems of partial differential equations (PDEs). [>> more]