Global stability of a flat interface for the gravity-capillary water-wave model
Benoit Pausader (Brown University)
MSRI: Simons Auditorium
The water wave model describes the evolution of a flat interface between air and an inviscid, incompressible fluid. It is known that (in 3D), if one considers the action of either gravity or surface tension alone, small localized perturbations of a flat interface lead to global solutions that scatter back to equilibrium, in a joint work with Y. Deng, A. Ionescu and F. Pusateri, we show that this remains true when one considers both forces.