Blow-up phenomena for the periodic two-component Degasperis-Procesi system

DOI10.4171/ZAA/1646zbMath1437.35109OpenAlexW2982082993MaRDI QIDQ2295612

Xingxing Liu

Publication date: 14 February 2020

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1646

zbMATH Keywords

Lyapunov functionspacially periodic system, wave-beaking criteria

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Blow-up in context of PDEs (35B44) Initial value problems for systems of nonlinear first-order PDEs (35F55)

Cites Work

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• The geometry of the two-component Camassa-Holm and Degasperis-Procesi equations
• On an integrable two-component Camassa-Holm shallow water system
• On the Cauchy problem for a two-component Degasperis-Procesi system
• On a two-component Degasperis-Procesi shallow water system
• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• Global weak solutions and blow-up structure for the Degasperis-Procesi equation
• On the Cauchy problem for an integrable equation with peakon solutions
• Existence of permanent and breaking waves for a shallow water equation: a geometric approach
• Global existence and blow-up phenomena for the Degasperis-Procesi equation
• Local-in-space criteria for blowup in shallow water and dispersive rod equations
• A Liouville theorem for the Degasperis-Procesi equation
• A two-component generalization of the Degasperis–Procesi equation
• Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
• Stability of peakons for the Degasperis-Procesi equation
• On the Blow-up Phenomena for the Degasperis-Procesi Equation

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