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Global stability of a flat interface for the gravity-capillary water-wave model

New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems October 19, 2015 - October 30, 2015

October 26, 2015 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Benoit Pausader (Brown University)
Location: SLMath: Eisenbud Auditorium
Video

14388
Abstract

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.
Supplements
24867?type=thumb Pausader-Notes 52.5 KB application/pdf Download
24868?type=thumb Pausader_Talk 3.22 MB application/pdf Download
Video/Audio Files

14388

H.264 Video 14388.mp4 276 MB video/mp4 rtsp://videos.msri.org/data/000/024/648/original/14388.mp4 Download
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