To participate in this seminar, please register here: https://www.msri.org/seminars/25657

Abstract:  

In this talk, I consider the Muskat problem, modeling the dynamics of two fluids in porous media. I will present  local and global well-posedness of the 2d muskat problem (with viscosity jump and surface tension) in the critical space H^{3/2}. 

This is based on joint works in collaboration with Thomas Alazard.