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The Soliton Resolution Conjecture for the Benjamin-Ono Equation

Institut des Hautes Etudes Scientifiques (IHES) via YouTube

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Explore a mathematical lecture presenting a recent proof of the soliton resolution conjecture for the Benjamin-Ono equation, delivered by Patrick Gerard from Université Paris-Saclay. Learn about the fundamental concept that the soliton resolution conjecture claims every solution to a dispersive equation decouples in long time asymptotics as a sum of soliton solutions plus a radiative remainder. Discover the collaborative research conducted with Louise Gassot and Peter Miller that successfully proves this conjecture specifically for the Benjamin-Ono equation. Gain insights into advanced mathematical concepts in dispersive equations, soliton theory, and asymptotic analysis through this comprehensive academic presentation from the Institut des Hautes Etudes Scientifiques.

Syllabus

Patrick Gerard - The Soliton Resolution Conjecture for the Benjamin-Ono Equation

Taught by

Institut des Hautes Etudes Scientifiques (IHES)

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