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25.06.24 - David Criens "Diffusions under Parameter Uncertainty"

David Criens - University of Freiburg
When Jun 25, 2024
from 03:00 PM to 04:00 PM
Where HS II, Physics Highrise
Contact Name
Contact Phone 203-97666
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Diffusions under Parameter Uncertainty

 

A fundamental obstacle in mathematical modeling is that one cannot be sure about the model that one takes into consideration. In this talk, I will discuss an approach that accounts for such a "model uncertainty" by taking not only one but a whole family of models into consideration. More specifically, I will consider parametric diffusion models whose parameters are uncertain. I discuss related optimization problems and how these connect to nonlinear PDEs. Furthermore, I outline computational aspects, extensions to more general frameworks and future research directions. 
The talks aims at a broad audience. In particular, I will recall aspects from the „classical“ linear diffusion theory that reveals similarities to the nonlinear situation under uncertainty.