Formation of Singularities in Fluid Interfaces

Formation of Singularities in Fluid Interfaces - Charles Fefferman

Charles Fefferman
Princeton University
March 27, 2012

The interface between water and vacuum (governed by the "water wave equation"), and the interface between oil and water in sand (governed by the "Muskat equation") can develop singularities in finite time. Joint work with A. Castro, D. Cordoba, F. Gancedo, J. Gomez and M. Lopez.