Travelling Waves: Theory and Applications

This London Dynamical Systems Group Graduate School will provide an introduction to travelling waves in nonlinear dissipative and conservative systems. It is meant to be accessible to entry-level PhD students and thus has no non-standard prerequisites. The primary goal of the four lecture series is to give a broad overview of the main phenomena, ideas and concepts in this area and to the techniques that are used to study them.

Speakers

LecturerCourse
Alan Champneys (Bristol)Application of travelling waves to nonlinear optics
Stephen Coombes (Nottingham)Travelling waves in biology
Arjen Doelman (Amsterdam)Geometric singular perturbation theory
Bjorn Sandstede (Surrey)Existence and stability theory of travelling waves

Course material

LecturerLecture Notes
Champneys Lecture 1, Lecture 2
Coombes Lecture 1, Lecture 2, Lecture 3, Lecture 4
Sandstede All lectures, Stability survey paper, Evans-function example