講演会（講演者：Darryl D. Holm先生）

題目：Peakons and other Emergent Singular Solutions (ESS) of the b-Equation for Nonlinear Waves

講演者：Prof. Darryl D. Holm, Department of Mathematics, Imperial College London, U.K.

概要：We discuss the b-equation and illustrate lots of examples of emergent singular solutions (ESS) in nonlinear fluid wave PDEs.

(1) Integrable ESS (Peakons) in 1D geodesic flows for b=2 Camassa-H [1993], b=3 Degasperis-H-Hone [2002] Then b-equations in N dimensions, H-Staley [2003]

(2) Q: Why is b=2 special?

The ESS is a momentum map on Young measures, H & Marsden [2005]

(3) Many other geodesic equations with b=2 in 1D? Fringer & H [2001]

(4) Stochastic b=2 CH eqn, Crisan & H [2019], Bendall-Cotter-H [2022]

(5) Cotter-H-Pryer [2023] r-CH equation for W^{1,r} norm

(6) Higher dimensional 2D and 3D emergent singular solutions H-Staley [2004]

日時： 2024年5月15日  17:00-18:30 (JST)

場所：オンライン（Zoom）

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