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On global solutions of water wave models

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

October 26, 2015 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Alexandru Ionescu (Princeton University)
Location: MSRI: Simons Auditorium
Tags/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

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14389

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

Supplements
24869?type=thumb Ionescu-Notes 52.5 KB application/pdf Download
24870?type=thumb Ionescu-Talk 331 KB application/pdf Download
Video/Audio Files

14389

H.264 Video 14389.mp4 261 MB video/mp4 rtsp://videos.msri.org/data/000/024/649/original/14389.mp4 Download
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