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Nonlinear studies of water flows with vorticity


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.

Call for proposal

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Host institution

EU contribution
€ 1 324 797,00
1010 Wien

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Ostösterreich Wien Wien
Activity type
Higher or Secondary Education Establishments
Principal investigator
Adrian Mircea Constantin (Prof.)
Administrative Contact
Helmut Schaschl (Dr.)
Total cost
No data

Beneficiaries (1)