Nonuniform dependence of solution to the high-order two-component \(b\)-family system

DOI10.1007/s00028-022-00780-zzbMath1485.35032OpenAlexW4214929659MaRDI QIDQ2115114

Shouming Zhou, Li Yang, Chun-Lai Mu

Publication date: 15 March 2022

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-022-00780-z

zbMATH Keywords

approximate solutionsdata-to-solution mapnonuniform dependencetwo-component \(b\)-family system

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

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• Well-posedness and persistence properties for two-component higher order Camassa-Holm systems with fractional inertia operator
• The properties of solutions for a generalized \(b\)-family equation with peakons
• The inverse spectral transform for the conservative Camassa-Holm flow with decaying initial data
• On the Cauchy problem for a generalized two-component shallow water wave system with fractional higher-order inertia operators
• On the Cauchy problem for the two-component Camassa-Holm system
• Global weak solutions for a two-component Camassa-Holm shallow water system
• Non-uniform dependence on initial data for the CH equation on the line.
• On an integrable two-component Camassa-Holm shallow water system
• Double extended cubic peakon equation
• Well-posedness and analytic solutions of a two-component water wave equation
• Well-posedness, blow-up phenomena and persistence properties for a two-component water wave system
• Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system
• On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
• On a class of physically important integrable equations
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Persistence properties for a family of nonlinear partial differential equations
• On the inverse spectral problem for the Camassa-Holm equation
• Special issue on the occasion of the 50th volume
• Wave breaking and global existence for a family of peakon equations with high order nonlinearity
• Continuity properties of the data-to-solution map for the two-component higher order Camassa-Holm system
• Stability of the Camassa-Holm solitons
• Non-uniform dependence on initial data for the two-component fractional shallow water wave system
• Persistence properties and asymptotic behavior for a two-component \(b\)-family system with high order nonlinearity
• On the Cauchy problem for a two-component \(b\)-family system with high order nonlinearity
• Local well-posedness and blow-up criteria for a two-component Novikov system in the critical Besov space
• The global Gevrey regularity and analyticity of a two-component shallow water system with higher-order inertia operators
• The periodic Cauchy problem for the 2-component Camassa-Holm system.
• Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
• Two-component higher order Camassa-Holm systems with fractional inertia operator: a geometric approach
• On the scattering problem for the Camassa-Holm equation
• Non-uniform dependence on initial data for the two-component Novikov system
• A family of wave-breaking equations generalizing the Camassa-Holm and Novikov equations
• Inverse scattering transform for the Camassa–Holm equation
• Integrable peakon equations with cubic nonlinearity
• Well-posedness, blow-up phenomena, and global solutions for the b-equation
• Non-Uniform Dependence for the Periodic CH Equation
• Generalizations of the Camassa–Holm equation
• Commutator estimates and the euler and navier-stokes equations
• A shallow water equation on the circle
• Stability of peakons
• An integrable shallow water equation with peaked solitons
• Well‐posedness, blow‐up phenomena and analyticity for a two‐component higher order Camassa–Holm system
• Commutator estimates
• Persistence properties for the two-component Novikov equation in weighted L^p spaces
• Nonuniform dependence for the Cauchy problem of the general b-equation
• On the existence of global weak solutions to an integrable two-component Camassa–Holm shallow-water system
• Hölder continuity of the solution map for the Novikov equation
• The Cauchy problem for the Novikov equation
• On the Cauchy problem for the Camassa-Holm equation
• Two-component equations modelling water waves with constant vorticity

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