The HADES seminar on Tuesday, December 3rd will be given by Hui Zhu in Evans 740 from 3:40 to 5 pm.

Speaker: Hui Zhu, MSRI

Abstract: The surface tension makes free surfaces of fluids instantaneously smooth. For 2D gravity-capillary waves, this phenomenon has been justified by Christianson–Hur–Staffilani and Alazard–Burq–Zuily as local smoothing effects. In this talk, I will present a microlocal justification of this phenomenon for gravity-capillary waves in arbitrary dimensions. My main results are two propagation theorems for some quasi-homogeneous wavefront sets of gravity-capillary waves.