1. Introduction & Purposes
This is a lecture series consisting of six 90-min talks to introduce the modelling of the water waves and the mathematical theory on water wave equations. In particular, the lectures will focus on the existence and application of conservation laws and existence and properties of solitary waves.

2. Outline & Descriptions
In this set of lectures, we will briefly indicate how water-wave models arise from more complete descriptions of wave motion. We then pass to some particular models such as the Koteweg-de Vries equation, Boussinesq systems and the like. We will study the mathematical properties of these waves, including existence and application of conservation laws and existence and properties of solitary waves. These studies of particular models suggest a range of questions that would arise in more general settings. These include questions of long-term stability which are tied to issues of global well-posedness. Some of these issues will occupy us for the remainder of the course.

3. Prerequisites
Undergraduate level PDE course

4. Registration
https://forms.gle/qh4TXAuBfinikTYy5