prof. Pusateri's seminars at SISSA

[Emanuele Tuillier Illingworth]

/*
Fabio Pusateri, *//Princeton University /

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, Room 004)
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:* (Wednesday  27 January, 14.30, Room 005)
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).