Theoretical and Computational Aspects of Nonlinear Surface Waves (16w5112)


Mark Groves (Universität des Saarlandes)

Philippe Guyenne (University of Delaware)

(University of East Anglia)

(Lund University)


The Banff International Research Station will host the "Theoretical and Computational Aspects of Nonlinear Surface Waves" workshop from October 30th to November 4th, 2016.

Waves on the surface of a fluid – or the interface between different fluids – are omnipresent phenomena. In water, ripples driven by surface tension affect remote sensing of underwater obstacles; waves on the surface and the interface between internal layers of water of differing densities affect ocean shipping, coastal morphology, and near-shore navigation; and tsunamis and hurricane-generated waves can cause devastation on a global scale. Hydroelastic waves are generated by man-made floating structures (especially air- ports) and by Antarctic exploration where heavy equipment travels over roads on floating ice. Hydromagnetic waves arise on the surface of ferrofluids in use in high-technology applications.

The last twenty years have seen rapid progress in analysis, modelling and numerical simulation of surface waves. These developments are evidenced by a number of high-profile meetings (Internal waves, ICMS Edinburgh, December 2008; Hydroelastic waves, ICMS Edinburgh, June 2010; Mathematics of water waves, Oberwolfach, November 2006; Computational approaches to water waves, Banff, July 2013; Theory of water waves, Newton Institute, July 2014) together with minisymposia at the major applied mathemat- ics conferences. These events have been focussed on certain types of surface waves (water waves, hydroelastic waves, internal waves) or subdisciplines (rigorous mathematical analysis, numerical simulations), and it now appears timely to bring together leading researchers from these different areas in a cross-disciplinary workshop.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).