Blow-up phenomena, ill-posedness and peakon solutions for the periodic Euler-Poincaré equations

DOI10.1016/j.jde.2019.08.042zbMath1431.35136arXiv1810.07993OpenAlexW2971754049MaRDI QIDQ2279546

Zhaoyang Yin, Wei Luo

Publication date: 13 December 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.07993

zbMATH Keywords

blow-uppeakon solutionsill-posednessthe periodic Euler-Poincaré equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Ill-posed problems for PDEs (35R25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items

The Initial-Value Problem to the Modified Two-Component Euler--Poincaré Equations, On the continuity of the solution map of the Euler-Poincaré equations in Besov spaces, Non-uniform dependence for higher dimensional Camassa-Holm equations in Besov spaces, Global existence and blow-up phenomena for a periodic modified Camassa–Holm equation (MOCH)

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