prof. Pusateri's lectures at SISSA

[Emanuele Tuillier Illingworth]

/*
Fabio Pusateri, *//Princeton University /

SISSA, Room 005, Monday 25 January, time 14.30, and  Wednesday  27 
January, time 14.30

/Title:/ *The water waves equations*

*First Lecture: (*Monday 25 January, 14.30)
I will being by introducing the water waves equations which model the 
motion of waves such as those on the surface of the ocean. After 
reviewing some of the main results concerning the Cauchy problem for 
this system, I will discuss the question of global regularity for water 
waves in the context of quasilinear evolution equations. I will conclude 
this first lecture by describing some of our results on this topic, and 
talk about some open questions.

*Second Lecture:* (Wendsday  27 January, 14.30)
I will start by presenting some results on the global regularity for the 
water waves system in two dimensions (one dimensional interfaces) driven 
by gravity or surface tension (joint with A. Ionescu).
I will then discuss a more recent result on the global regularity for 
the gravity-capillary problem in three dimensions (joint with Y. Deng, 
A. Ionescu and B. Pausader).