The global Gevrey regularity of the rotation two-component Camassa-Holm system

DOI10.1016/j.jmaa.2020.123933zbMath1446.35034OpenAlexW3005077940MaRDI QIDQ777156

Zhaoyang Yin, Yingying Guo

Publication date: 3 July 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.123933

zbMATH Keywords

Coriolis forceequatorial water wavesglobal Gevrey regularity in time

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Remarks on the well-posedness of Camassa-Holm type equations in Besov spaces
• Initial boundary value problems for the two-component shallow water systems
• On the Cauchy problem for the two-component Camassa-Holm system
• On an integrable two-component Camassa-Holm shallow water system
• Analyticity of solutions for a generalized Euler equation
• Global conservative solutions of the Camassa-Holm equation
• Global conservative solutions of the generalized hyperelastic-rod wave equation
• Gevrey class regularity for the solutions of the Navier-Stokes equations
• 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
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Stability of a class of solitary waves in compressible elastic rods
• Initial boundary value problems for nonlinear dispersive wave equations
• Wave breaking for nonlinear nonlocal shallow water equations
• The Hamiltonian structure of the Camassa-Holm equation
• Global weak solutions for a shallow water equation
• Ill-posedness of the Camassa-Holm and related equations in the critical space
• Well-posedness, blow-up criteria and Gevrey regularity for a rotation-two-component Camassa-Holm system
• A few remarks on the Camassa-Holm equation.
• Well-posedness, blow up, and global existence for an integrable shallow water equation
• Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
• Existence of permanent and breaking waves for a shallow water equation: a geometric approach
• The rotational speed limit and the blow-up phenomena of the rotation 2-component Camassa-Holm system
• The global Gevrey regularity and analyticity of a two-component shallow water system with higher-order inertia operators
• Blowup issues for a class of nonlinear dispersive wave equations
• Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
• On the rotation-two-component Camassa-Holm system modelling the equatorial water waves
• On the weak solutions to a shallow water equation
• On the scattering problem for the Camassa-Holm equation
• Inverse scattering transform for the Camassa–Holm equation
• GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
• On the cauchy problem for a family of quasilinear hyperbolic equations
• Breakdown of the Camassa-Holm equation
• Stability of peakons
• An integrable shallow water equation with peaked solitons
• Gevrey regularity and analyticity for Camassa-Holm type systems
• Water waves and integrability
• Particle trajectories in solitary water waves
• Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View
• Initial Boundary Value Problems of the Camassa–Holm Equation
• Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation

This page was built for publication: The global Gevrey regularity of the rotation two-component Camassa-Holm system