Nonlinear Water Waves: Analysis, Computation, and Dynamics

The study of nonlinear water waves sits at the intersection of mathematics, computation, and physical observation. It is driven by problems arising in areas such as partial differential equations, dynamical systems, and fluid mechanics, while also being advanced by numerical simulation and laboratory observations. Each community of researchers captures some aspects of water waves. The separation in the study is clear: rigorous results do not always become diagnostics for simulations; numerical findings may not lead to mathematical inquiries; and experimental observations are sometimes not connected back to theoretical foundation of models. This workshop aims to bridge this gap by bringing together experts from different fields to improve communication, share ideas, and set joint research directions.

The topics in the conference will include: the formation and stability of coherent waves across different scales and configurations; nonlinear interactions between scales; and scenarios leading to extreme events such as wave breaking or singular behaviour. Speakers will be encouraged to present open problems that may reach experts outside their own field of expertise. Apart from regular talks, discussion sessions will provide space to form joint research interests among participants.