Existence and uniqueness of the global conservative weak solutions for a cubic Camassa-Holm type equation
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Publication:6189367
DOI10.1016/j.jde.2023.12.033OpenAlexW4390802279WikidataQ130134683 ScholiaQ130134683MaRDI QIDQ6189367
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Publication date: 8 February 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2023.12.033
PDEs in connection with fluid mechanics (35Q35) Initial value problems for nonlinear higher-order PDEs (35G25) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Lipschitz metric for the Camassa-Holm equation on the line
- Uniqueness of conservative solutions to the Camassa-Holm equation via characteristics
- A new highly nonlinear shallow water wave equation
- Dissipative solutions for the Camassa-Holm equation
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Global conservative solutions of the Camassa-Holm equation
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Wave breaking for nonlinear nonlocal shallow water equations
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- Lipschitz metric for the Novikov equation
- Global dissipative solutions of the Novikov equation
- Higher-order Hamiltonian model for unidirectional water waves
- Stability of the Camassa-Holm solitons
- Orbital stability of solitary waves and a Liouville-type property to the cubic Camassa-Holm-type equation
- The shallow-water models with cubic nonlinearity
- On the Cauchy problem for a class of cubic quasilinear shallow-water equations
- Qualitative analysis for the new shallow-water model with cubic nonlinearity
- Well-posedness and analytic solutions of the two-component Euler-Poincaré system
- Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
- Existence and uniqueness of the global conservative weak solutions for the integrable Novikov equation
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
- An integrable shallow water equation with peaked solitons
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- Bi-Hamiltonian systems on the dual of the Lie algebra of vector fields of the circle and periodic shallow water equations
- Particle trajectories in solitary water waves
- Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View
- Stability of Peaked Solitary Waves for a Class of Cubic Quasilinear Shallow-Water Equations
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