Global existence and blow-up solutions for a nonlinear shallow water equation
DOI10.1007/s00208-006-0768-1zbMath1102.35021OpenAlexW1994936667MaRDI QIDQ2432026
Publication date: 25 October 2006
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-006-0768-1
Korteweg-de Vries equationexistence of global solutionsCamassa-Holm equationshallow water wavesbreaking wavenonlinear dispersive equationrate of blow-upintegrable soliton equations
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)
Related Items (46)
Cites Work
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- Wave breaking for nonlinear nonlocal shallow water equations
- Global weak solutions for a shallow water equation
- A few remarks on the Camassa-Holm equation.
- Stability of the Camassa-Holm solitons
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation
- On the scattering problem for the Camassa-Holm equation
- Stability of peakons
- Orbital stability of solitary waves for a shallow water equation
- On the Cauchy problem for the Camassa-Holm equation
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