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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Finite time singularities for the free boundary incompressible Euler equations

## Finite time singularities for the free boundary incompressible Euler equationsAdd to your list(s) Download to your calendar using vCal - Crdoba, D (Instituto de Ciencias Matemticas; Madrid)
- Thursday 26 July 2012, 16:45-17:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Topological Dynamics in the Physical and Biological Sciences We prove the existence of smooth initial data for the 2D free boundary incompressible Euler equations (also known for some particular scenarios as the water wave problem), for which the smoothness of the interface breaks down in finite time into a splash singularity or a splat singularity. Moreover, we show a stability result together with numerical evidence that there exist solutions of the 2D water wave equation that start from a graph, turn over and collapse in a splash singularity (self intersecting curve in one point) in finite time. Joint work with A. Castro, C. Fefferman, F. Gancedo and J. Gomez-Serrano. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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