Global wellposedness of cubic Camassa-Holm equations

DOI10.1016/j.na.2015.11.020zbMath1336.35122OpenAlexW2196766175MaRDI QIDQ2634363

Qingtian Zhang

Publication date: 9 February 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.11.020

zbMATH Keywords

well-posednessKružhikov's theoryshallow water dynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (15)

Qualitative analysis for a two-component peakon system with cubic nonlinearity ⋮ Wave breaking phenomenon for the generalized FORQ equation ⋮ The modified Camassa-Holm equation in Lagrangian coordinates ⋮ A Dispersive Regularization for the Modified Camassa--Holm Equation ⋮ Orbital stability of peakons and multi-peakons for a generalized cubic-quintic Camassa-Holm type equation ⋮ Blow-up analysis for the \(ab\)-family of equations ⋮ On the finite time blow-up for the high-order Camassa-Holm-Fokas-Olver-Rosenau-Qiao equations ⋮ Wave-breaking analysis and weak multi-peakon solutions for a generalized cubic-quintic Camassa-Holm type equation ⋮ Patched peakon weak solutions of the modified Camassa-Holm equation ⋮ Blow-up phenomena and peakons for the \(b\)-family of FORQ/MCH equations ⋮ Blow-up phenomena and peakons for the gFQXL/gCH-mCH equation ⋮ Global Convergence of a Sticky Particle Method for the Modified Camassa--Holm Equation ⋮ Weak well-posedness for the integrable modified Camassa-Holm equation with the cubic nonlinearity ⋮ Blow-up phenomena for the generalized FORQ/MCH equation ⋮ Persistence property and infinite propagation speed for the \(b\)-family of Fokas-Olver-Rosenau-Qiao (\(b\)FORQ) model

Cites Work

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