The rotational \(b\)-family of equations
DOI10.1016/J.JDE.2024.07.010zbMATH Open1547.3561MaRDI QIDQ6601852
Publication date: 11 September 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
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Asymptotic behavior of solutions to PDEs (35B40) Hydrology, hydrography, oceanography (86A05) KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) PDEs in connection with geophysics (35Q86) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Geophysical flows (76U60)
Cites Work
- Title not available (Why is that?)
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- Wave-breaking phenomena for the nonlocal Whitham-type equations
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Global weak solutions and blow-up structure for the Degasperis-Procesi equation
- Formation and dynamics of shock waves in the Degasperis-Procesi equation
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- On solitary water-waves of finite amplitude
- Wave breaking for nonlinear nonlocal shallow water equations
- On the Cauchy problem for an integrable equation with peakon solutions
- On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves.
- On a shallow-water approximation to the Green-Naghdi equations with the Coriolis effect
- 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
- Local-in-space criteria for blowup in shallow water and dispersive rod equations
- On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation
- Long wave approximations for water waves
- A nonlocal shallow-water model arising from the full water waves with the Coriolis effect
- On the scattering problem for the Camassa-Holm equation
- Global existence and blow-up phenomena for the peakon $b$-family of equations
- Well-posedness, blow-up phenomena, and global solutions for the b-equation
- An existence theory for water waves and the boussinesq and korteweg-devries scaling limits
- On the existence of a wave of greatest height and Stokes’s conjecture
- A Modern Introduction to the Mathematical Theory of Water Waves
- Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
- Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
- Breakdown of the Camassa-Holm equation
- An integrable shallow water equation with peaked solitons
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- On the Cauchy problem for the Camassa-Holm equation
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