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Nonlinear studies of water flows with vorticity (NWFV)
Date du début: 1 avr. 2011, Date de fin: 31 mars 2016 PROJET  TERMINÉ 

"The aim of the project is to build and promote a team of excellence in the mathematical theory of water flows, with emphasis on nonlinear aspects. Our aim is to advance the state-of-the-art of water flows with vorticity. Flows within a fixed fluid domain as well as free surface flows will be considered and we strive to provide an accurate description of the entire flow; for example, the flow beneath a water wave and not just a description of the water wave profile. Problems of this type are currently of great interest, for example in the context of wave-current interactions and for a better understanding of tsunami waves. In addition to methods from the theory of partial differential equations to investigate the governing equations for water waves, the use of simplified models with a rich structure (e.g. integrable systems arising in the shallow water regime) will identify and highlight qualitative features. Numerical simulation in conjunction with experimental feedback and the gathering of field data will be of great support. Provision is made for consultation and collaboration with research groups in engineering and physics. Due to the interest of the general public in tsunamis, one of the objectives is to have a positive impact on the perception of science by society and on the raising of scientific interest of the younger generation through public lectures and contacts with high-schools."

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