Error estimate of the particle method for the \(b\)-equation

DOI10.4310/MAA.2016.V23.N2.A1zbMath1346.35032OpenAlexW2471133925MaRDI QIDQ312420

Yong Duan, Jian-Guo Liu

Publication date: 15 September 2016

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.2016.v23.n2.a1

zbMATH Keywords

error estimateclassical solutionpeakon solutionsCamassa-Holm equationparticle methodLagrangian representationDegasperis-Procesi equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Soliton solutions (35C08) Strong solutions to PDEs (35D35) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

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Convergence analysis of the vortex blob method for the \(b\)-equation

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