On the finite time singularities for a class of Degasperis-Procesi equations

DOI10.1016/j.nonrwa.2018.04.005zbMath1403.35086OpenAlexW2806485588WikidataQ129753388 ScholiaQ129753388MaRDI QIDQ1994845

Xinglong Wu

Publication date: 2 November 2018

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.04.005

zbMATH Keywords

local well-posednesswave breakinglifespan

Mathematics Subject Classification ID

Wave equation (35L05) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44)

Related Items (3)

Formation of singularity of solution to a nonlinear shallow water equation ⋮ A view of the peakon world through the lens of approximation theory ⋮ The dynamic properties of solutions for a nonlinear shallow water equation

Cites Work

• On the Cauchy problem for the periodic generalized Degasperis-Procesi equation
• Global weak solutions and blow-up structure for the Degasperis-Procesi equation
• Formation and dynamics of shock waves in the Degasperis-Procesi equation
• Global existence for a new periodic integrable equation.
• On the Cauchy problem for an integrable equation with peakon solutions
• Global weak solutions for a new periodic integrable equation with peakon solutions
• Global existence and blow-up phenomena for the Degasperis-Procesi equation
• Wave breaking for the Whitham equation with fractional dispersion
• Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
• A numerical and theoretical study of certain nonlinear wave phenomena
• Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
• 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
• On the Blow-up Phenomena for the Degasperis-Procesi Equation
• Numerical schemes for computing discontinuous solutions of the Degasperis Procesi equation
• Variational methods and applications to water waves
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