On global solutions of water wave models
Presenter
October 26, 2015
Keywords:
- evolution equation
- regularity of initial data, localized initial data
- quasi-linear PDE
- capillary water waves
- Euler-Maxwell equation
- gravity-capillary water waves
- surface tension
MSC:
- 74Gxx
- 76B03
- 76B15
- 35B65
- 35B30
- 35B20
- 35B40
- 76M45
Abstract
I will discuss some recent work, joint with Yu Deng, Benoit Pausader, and Fabio Pusateri, on the construction of global solutions of several water wave models. Our work concerns mainly the gravity-capillary model in 3D. I will also discuss the more general two-fluid interface problem