Dynamics of patterns subject to noise
Joris van Winden (TU Delft - Electrical Engineering, Mathematics and Computer Science)
M.C. Veraar – Promotor (TU Delft - Electrical Engineering, Mathematics and Computer Science)
M.V. Gnann – Copromotor (TU Delft - Electrical Engineering, Mathematics and Computer Science)
More Info
expand_more
Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.
Abstract
Patterns occur naturally in many physical and biological systems. By pattern, we mean a structure which has a complicated spatial dependence, but retains its shape as time passes. Prototypical examples are water waves, traveling pulses in neurons, convection cells, and tropical cyclones. This dissertation is concerned with the mathematical analysis of such patterns when they are subjected to random fluctuations in the environment, which we refer to as noise. The key questions which we address are stability, noise-induced motion, and long-time behavior of patterns.