Research interests: I am currently working on uncertainty quantification of bifurcations in random ordinary differential equations. The aim is to contribute to the risk assessment of critical transitions in complex mathematical models from climate science, epidemiology, and ecology.

Being fascinated by interdisciplinary topics, my research interest lies at the interface of several mathematical areas (probability theory, dynamical systems, optimization, hyperbolic PDEs). My research during my PhD focused on the optimal inflow control in hyperbolic supply systems with uncertain demand. The stochastic optimal control framework developed therein is relevant within different industries and in particular the energy sector.

In my master thesis, I dealed with the numerical treatment of stochastic differential equations with discontinuous coefficients.

The base line connecting my research questions is: How does uncertainty affect known deterministic behavior in various complex mathematical models?

-- KerstinLux - 11 Jan 2021
 
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