2012 journal article

CONVERGENCE OF A PARTICLE METHOD AND GLOBAL WEAK SOLUTIONS OF A FAMILY OF EVOLUTIONARY PDES

SIAM JOURNAL ON NUMERICAL ANALYSIS, 50(1), 1–21.

By: A. Chertock n, J. Liu & T. Pendleton*

Contributors: A. Chertock n, J. Liu & T. Pendleton*

author keywords: Camassa-Holm equation; Degasperis-Procesi equation; Euler-Poincare equation; global weak solution; particle method; space-time BV estimates; peakon solutions; conservation laws; completely integrable systems
TL;DR: From this result, the existence of a unique global weak solution in some special cases is proved and stronger regularity properties of the solution are obtained than previously established. (via Semantic Scholar)
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Added: August 6, 2018

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