Focused Research Group:
Nonlinear, three-dimensional waves in water of arbitrary depth
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Objective
The objective of our research group is to construct the building blocks of a practical theory for inviscid surface water waves: stable or long-lived wave patterns in arbitrary depth that are fully three-dimensional and fully nonlinear. To this end, we are using methods from analysis, computational mathematics, asymptotics and algebraic geometry, all in conjunction with state-of-the-art physical experiments.Waves play an important role in the open ocean and in coastal regions. The potential coherence of three-dimensional wave patterns over large scales is not well-known, nor are the effects of coherence and large amplitude wave weather, air-sea transport processes, and large-scale structures. Thus, an understanding of these patterns is of importance to shipping and coastal engineering.
The search for stable (or long-lived), coherent patterns has direct impact on the study of the partial differential equations involved. These equations are of widespread interest and have a rich mathematical structure. We are looking for experimental confirmation of solutions that have been found for these equations, and for solutions of these equations that have been observed in experiments, but not yet for these equations. The stability of these solutions also needs to be discussed.
Workshop: Toronto, June 14-18
Our group organized a workshop at the Fields Institute in Toronto, CA. The website for the workshop is found here. A short overview of what happened at the workshop is available, as well as a group photo of the participants.· Main Page · Publications · Experiments · Contact Information · Grant Information ·