Integration of the EPDiff equation by particle methods

DOI10.1051/m2an/2011054zbMath1272.65079OpenAlexW2078377303WikidataQ57431927 ScholiaQ57431927MaRDI QIDQ2842473

Jerrold E. Marsden, Philip C. Du Toit, Alina E. Chertock

Publication date: 14 August 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2011054

zbMATH Keywords

numerical resultsweak solutionsvariational principlesolitonsintegrable Hamiltonian systemsmomentum mapsparticle methodspeakonsEuler-Poincaré differential equationshallow water and internal waves

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Solitary waves in solid mechanics (74J35) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

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