Stability of blow-up solution for the two component Camassa–Holm equations

DOI10.3233/ASY-191590zbMath1472.35305OpenAlexW2990321953MaRDI QIDQ4999969

Shou-jun Huang, Xintao Li, Weiping Yan

Publication date: 5 July 2021

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

Full work available at URL: https://doi.org/10.3233/asy-191590

zbMATH Keywords

stabilityblow-up solutionasymptotic analysisCamassa-Holm equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

Cites Work

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• Breaking waves and persistence property for a two-component Camassa-Holm system
• Blow-up for the two-component Camassa-Holm system
• On an integrable two-component Camassa-Holm shallow water system
• Analytic solutions of the Cauchy problem for two-component shallow water systems
• Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system
• Stability of a class of solitary waves in compressible elastic rods
• Semigroups of linear operators and applications to partial differential equations
• The Hamiltonian structure of the Camassa-Holm equation
• Double phase problems with variable growth
• Uniqueness of global conservative weak solutions for the modified two-component Camassa-Holm system
• Stability of the Camassa-Holm solitons
• Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
• Asymptotic stability and instability of explicit self-similar waves for a class of nonlinear shallow water equations
• Blow-up solutions for fully nonlinear equations: existence, asymptotic estimates and uniqueness
• Positive solutions for a class of singular Dirichlet problems
• Theoretical analysis of a water wave model with a nonlocal viscous dispersive term using the diffusive approach
• A two-component generalization of the Camassa-Holm equation and its solutions
• Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
• Stability of Solitary Waves and Global Existence of a Generalized Two-Component Camassa–Holm System
• Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
• On a Camassa–Holm type equation with two dependent variables
• Extended Camassa-Holm Hierarchy and Conserved Quantities
• Stability of peakons
• An integrable shallow water equation with peaked solitons
• Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves
• Orbital stability of solitary waves for a shallow water equation

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