Blow-up criteria for the generalized Degasperis–Procesi equation

DOI10.1080/00036811.2020.1863377zbMath1496.35100OpenAlexW3117541050MaRDI QIDQ5102276

Xijun Deng

Publication date: 6 September 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1863377

zbMATH Keywords

local well-posednessgeneralized Degasperis-Procesi equation

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44)

Cites Work

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• On the Cauchy problem for the periodic generalized Degasperis-Procesi equation
• On the initial boundary value problems for the Degasperis-Procesi equation
• On well-posedness of the Degasperis-Procesi equation
• Global weak solutions and blow-up structure for the Degasperis-Procesi equation
• Global existence for a new periodic integrable equation.
• On the Cauchy problem for an integrable equation with peakon solutions
• On the integrability of Degasperis-Procesi equation: control of the Sobolev norms and Birkhoff resonances
• Traveling wave solutions of the Degasperis-Procesi equation
• Periodic and solitary-wave solutions of the Degasperis-Procesi equation
• Global weak solutions for a new periodic integrable equation with peakon solutions
• Stability in the energy space of the sum of \(N\) peakons for the Degasperis-Procesi equation
• Blow-up phenomenon for the integrable Degasperis-Procesi equation
• Blowup issues for a class of nonlinear dispersive wave equations
• Global existence and blow-up phenomena for the Degasperis-Procesi equation
• Local-in-space criteria for blowup in shallow water and dispersive rod equations
• On permanent and breaking waves in hyperelastic rods and rings
• Infinite propagation speed for the Degasperis-Procesi equation
• Blow-up and global solutions to a new integrable model with two components
• Norm Inflation and Ill-Posedness for the Degasperis-Procesi Equation
• On the Cauchy problem for the Degasperis-Procesi equation
• Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
• Stability of peakons for the Degasperis-Procesi equation
• Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
• Multi-peakon solutions of the Degasperis–Procesi equation
• Global solutions to a new integrable equation with peakons
• On the Cauchy problem for a generalized Degasperis–Procesi equation

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