Uniqueness of global conservative weak solutions for two-component higher-order shallow water system
DOI10.3934/dcdsb.2024097MaRDI QIDQ6642450
Zhaoyang Yin, Huijun He, Chunxia Guan
Publication date: 24 November 2024
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
uniquenessLagrangian coordinatescharacteristicsglobal conservative weak solutiongeneralized two-component higher-order Camassa-Holm system
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial value problems for systems of nonlinear higher-order PDEs (35G55)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Well-posedness and persistence properties for two-component higher order Camassa-Holm systems with fractional inertia operator
- Remarks on the well-posedness of Camassa-Holm type equations in Besov spaces
- Uniqueness of conservative solutions to the two-component Camassa-Holm system via characteristics
- Uniqueness of conservative solutions to the Camassa-Holm equation via characteristics
- On the Cauchy problem for a generalized two-component shallow water wave system with fractional higher-order inertia operators
- Global weak solutions for a two-component Camassa-Holm shallow water system
- Global conservative solutions of a modified two-component Camassa-Holm shallow water system
- On an integrable two-component Camassa-Holm shallow water system
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- The trajectories of particles in Stokes waves
- Global conservative solutions of the Camassa-Holm equation
- Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- 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
- Stokes waves
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- Geodesic flow on the diffeomorphism group of the circle
- Global weak solutions for a shallow water equation
- Ill-posedness of the Camassa-Holm and related equations in the critical space
- A few remarks on the Camassa-Holm equation.
- Stability of the Camassa-Holm solitons
- Well-posedness, blow up, and global existence for an integrable shallow water equation
- On the blow-up rate and the blow-up set of breaking waves for a 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
- Unique conservative solutions to a variational wave equation
- Well-posedness of higher-order Camassa-Holm equations
- The global Gevrey regularity and analyticity of a two-component shallow water system with higher-order inertia operators
- 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 weak solutions to a shallow water equation.
- On the scattering problem for the Camassa-Holm equation
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
- Multi-peakons and a theorem of Stieltjes
- Global weak solutions for a shallow water equation
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- Well‐posedness, blow‐up phenomena and analyticity for a two‐component higher order Camassa–Holm system
- Integrable Nonlinear Wave Equations and Possible Connections to Tsunami Dynamics
- Water waves and integrability
- Bi-Hamiltonian systems on the dual of the Lie algebra of vector fields of the circle and periodic shallow water equations
- Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis
- Particle trajectories in solitary water waves
- Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View
- Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation
- On the Cauchy problem for the Camassa-Holm equation
This page was built for publication: Uniqueness of global conservative weak solutions for two-component higher-order shallow water system