Noisy patterns: Bridging the gap between stochastics and dynamics

Hamster, C.H.S. (2020)

Doctoral Thesis

In this thesis, we study travelling waves in stochastic reaction-diffusion equations. We extend techniques from the deterministic theory for travelling waves to apply to the stochastic version, which allows us to compute the stochastic wave speed and shape, and draw conclusions on the stability of the wave.

• Travelling waves
• Stochastic forcing
• Nonlinear stability
• Reaction-diffusion equations
• Stochastic phase shift

• All authors: Hamster, C.H.S.
• Supervisor: Doelman, A.
• Co-supervisor: Hupkes, H.J.
• Committee: Blömker, D.; Gottwald, G.; Lord, G.; Merks, R.M.H.; Stevenhagen, P.
• Qualification: Doctor (dr.)
• Awarding Institution: Mathematical Institute (MI), Faculty of Science, Leiden University
• Date: 2020-09-09
• ISBN (print): 9789463759625