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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Plenary Lecture 10: Absence of the interface splash singularity for the two-fluid Euler equations

## Plenary Lecture 10: Absence of the interface splash singularity for the two-fluid Euler equationsAdd to your list(s) Download to your calendar using vCal - Shkoller, S (University of Oxford)
- Friday 27 June 2014, 09:00-09:45
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Free Boundary Problems and Related Topics An interface splash singularity occurs when a locally smooth fluid interface self-intersects. Such interface singularities occur for one-fluid interfaces in the Euler equations and other fluids models. By means of elementary arguments in Lagrangian coordinates, we prove that such a singularity cannot occur in finite-time for a two-fluid interface evolved by either the incompressible Euler equations (with surface tension) or the Muskat equations. By assuming that such a singularity can occur, we find a sharp blow-up rate for the vorticity, and characterize the geometry of the evolving interface. This leads to a contradiction, showing that such a singularity can occur. This is joint work with D. Coutand. 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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