Wave-breaking phenomena for a new weakly dissipative quasilinear shallow-water waves equation
DOI10.1007/S00605-024-01958-YMaRDI QIDQ6617976
Xiaofang Dong, Kai Wang, Xianxian Su
Publication date: 11 October 2024
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of rotating fluids (76U05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Breaking waves and persistence property for a two-component Camassa-Holm system
- On some wave breaking for the nonlinear integrable shallow water wave equations
- A new highly nonlinear shallow water wave equation
- Analyticity of periodic traveling free surface water waves with vorticity
- Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models
- Blow-up of solutions to a nonlinear dispersive rod equation
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Integrability of invariant metrics on the diffeomorphism group of the circle
- The trajectories of particles in Stokes waves
- On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
- Global solutions and blow-up phenomena to a shallow water equation
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Global existence and blow-up phenomena for the weakly dissipative Camassa-Holm equation
- Some properties of solutions to the weakly dissipative Degasperis-Procesi equation
- Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time
- Wave breaking for nonlinear nonlocal shallow water equations
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- A few remarks on the Camassa-Holm 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
- On the modeling of shallow-water waves moving over a shear flow
- Invariants and wave breaking analysis of a Camassa-Holm type equation with quadratic and cubic non-linearities
- On the modelling of shallow-water waves with the Coriolis effect
- Local-in-space criteria for blowup in shallow water and dispersive rod equations
- On wave-breaking phenomena for a new generalized two-component shallow water wave system
- On the scattering problem for the Camassa-Holm equation
- On the cauchy problem for a family of quasilinear hyperbolic equations
- Multi-peakons and a theorem of Stieltjes
- The Camassa–Holm equation for water waves moving over a shear flow
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Solitary shock waves and other travelling waves in a general compressible hyperelastic rod
- Equatorial wave-current interactions
- Analysis on the blow-up of solutions to a class of integrable peakon equations
- A highly nonlinear shallow-water model Arising from the full water waves with the Coriolis effect
This page was built for publication: Wave-breaking phenomena for a new weakly dissipative quasilinear shallow-water waves equation
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6617976)
