Can fourier neural operators replicate the intrinsic predictability of spatiotemporal chaos?: for the Kuramoto-Sivashinsky system

The use of deep learning in global weather forecasting has shown significant promise in improving both forecasting accuracy and speed. Traditional numerical weather prediction models have gradually improved forecasting skills but at the cost of increased computational complexity. In contrast, new deep learning models, trained directly on...

The organization of scalar mixing by coherent structures: An experimental study

Turbulent scalar mixing is prominent in all sorts of situations, being it in air pollution or making tea. However, this does not often lead to a homogeneously mixed fluid, but rather leads to regions of higher concentrations next to regions with significantly lower concentrations. This can be characterized by dividing the concentration field in...

Combining genetic regulatory network models and a random matrix approach to solve large biological networks

In this thesis we study genetic regulatory networks using a minimal nonlinear<br/>model from literature and extend this to multi-compartment gene-to-gene interaction networks using both numerical simulations and random matrix theory.<br/>When we add perturbations to a system of two interaction networks, the largest<br/>eigenvalue becomes larger,...

A flow-informed strategy for ballistic capture trajectory design

In interplanetary mission design, ballistic capture is the phenomenon by which a spacecraft approaches its target body, and performs a number of revolutions around it, without requiring manoeuvres in between. For a spacecraft to be captured, its gravitational interaction with at least two celestial bodies has to be taken into account. Because of...

Design of Nonlinear Circuits: The Linear Time-Varying Approach

Over the last years the ever-growing demand for higher performance has led to much interest in using nonlinear circuit concepts for electronic circuit design. For this we have to deal with analysis and synthesis of dynamic nonlinear circuits. This thesis proposes to handle the nonlinear design complexity by dividing the design process in two...