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The Soliton Resolution Conjecture for the Benjamin-Ono Equation

By Patrick Gerard

Appears in collection : Partial Differential Equations, Analysis and Geometry

The soliton resolution conjecture for a dispersive equation claims that, in the long time asymptotics, every solution decouples as a sum of soliton solutions up to a radiative remainder. I will discuss a recent proof of this conjecture in the special case of the Benjamin-Ono equation ( in collaboration with Louise Gassot and Peter Miller).

Information about the video

  • Date of recording 14/01/2026
  • Date of publication 15/01/2026
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

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