Formation of singularity of solution to a nonlinear shallow water equation
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Publication:6062421
DOI10.1186/s13660-023-02943-zOpenAlexW4322736145MaRDI QIDQ6062421
Yaxian Ma, Sen Ming, Jiayi Du, Yeqin Su
Publication date: 30 November 2023
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-023-02943-z
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Blow-up in context of PDEs (35B44)
Cites Work
- On the behavior of the solution of the dissipative Camassa-Holm equation with the arbitrary dispersion coefficient
- Blow-up phenomena and local well-posedness for a generalized Camassa-Holm equation with cubic nonlinearity
- Wave breaking and propagation speed for the Camassa-Holm equation with \(\kappa \neq 0\)
- Integrability of invariant metrics on the diffeomorphism group of the circle
- Wave breaking for nonlinear nonlocal shallow water equations
- Some properties of solutions to the Camassa-Holm-type equation with higher-order nonlinearities
- Well-posedness and peakons for a higher-order \(\mu\)-Camassa-Holm equation
- Lipschitz metric for the Novikov equation
- Infinite propagation speed and asymptotic behavior for a generalized Camassa-Holm equation with cubic nonlinearity
- A Liouville property with application to asymptotic stability for the Camassa-Holm equation
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- On the finite time singularities for a class of Degasperis-Procesi equations
- Well-posedness and wave breaking of the degenerate Novikov equation
- Traveling waves in a generalized Camassa-Holm equation involving dual-power law nonlinearities
- Non-uniform dependence for higher dimensional Camassa-Holm equations in Besov spaces
- Invariants and wave breaking analysis of a Camassa-Holm type equation with quadratic and cubic non-linearities
- On a two dimensional nonlocal shallow-water model
- The Cauchy problem for higher-order modified Camassa-Holm equations on the circle
- Solitons and peakons of a nonautonomous Camassa-Holm equation
- Non-uniform dependence and well-posedness for the rotation-Camassa-Holm equation on the torus
- Well-posedness, travelling waves and geometrical aspects of generalizations of the Camassa-Holm equation
- A rigidity result for the Holm-Staley \(b\)-family of equations with application to the asymptotic stability of the Degasperis-Procesi peakon
- Wave breaking and solitary wave solutions for a generalized Novikov equation
- Local well-posedness and blow-up criteria for a two-component Novikov system in the critical Besov space
- Persistence properties and unique continuation of solutions of the Camassa-Holm equation
- Infinite propagation speed for the Degasperis-Procesi equation
- Ill-posedness for the Camassa-Holm and related equations in Besov spaces
- Wave breaking and global solutions of the weakly dissipative periodic Camassa-Holm type equation
- Dressing Method for the Degasperis-Procesi Equation
- Finite propagation speed for the Camassa–Holm equation
- Fourier Analysis and Nonlinear Partial Differential Equations
- On the Dynamics of Zero-Speed Solutions for Camassa–Holm-Type Equations
- Generalizations of the Camassa–Holm equation
- A Dispersive Regularization for the Modified Camassa--Holm Equation
- Construction of 2-Peakon Solutions and Ill-Posedness for the Novikov Equation
- Generic Regularity of Conservative Solutions to Camassa--Holm Type Equations
- Growth of Perturbations to the Peaked Periodic Waves in the Camassa--Holm Equation
- Integrability, existence of global solutions, and wave breaking criteria for a generalization of the Camassa–Holm equation
- Bi-Hamiltonian systems on the dual of the Lie algebra of vector fields of the circle and periodic shallow water equations
- The Cauchy problem of a weakly dissipative shallow water equation
- The Cauchy problem for a generalized Camassa-Holm equation
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