|Global regularity for the gravity water waves system in 2D and 3D|
|Time：||Thu/Fri 10:10-12:00, 2016-06-02 ~ 2016-07-22 (No class on June 9)|
|Instructor：||Xuecheng Wang [Princeton University]|
|Place：||Conference room 1, floor 1, Jin Chun Yuan West Building|
We will mainly discuss the recent progress on the long time behavior of the gravity water waves system in both 2D and 3D. The central question is whether there exists a nontrivial global solution if the initial data is suitably smooth and small. To improve the understanding of this problem, we will also discuss some related toy models.
Basic knowledge about PDE and Harmonic analysis.
Thomas Alazard and Jean-Marc Delort. Global solutions and asymptotic behavior for two dimensional gravity water waves, arXiv:1305.4090v1.
Alexandru Ionescu and Fabio Pusateri. Global solutions for the gravity water waves system in 2D. Inventiones Mathematicae, Vol 199 (2015), no 3, 653—804.