Sufficient conditions of blowup to a shallow water wave equation

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Blow-up in context of PDEs (35B44)

Cites Work

Unnamed Item
Unnamed Item
The stability of local strong solutions for a shallow water equation
Well-posedness of the Fornberg-Whitham equation on the circle
Lipschitz metric for the periodic Camassa-Holm equation
On well-posedness of the Degasperis-Procesi equation
Blow-up of solutions to a nonlinear dispersive rod equation
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
Global weak solutions and blow-up structure for the Degasperis-Procesi equation
Wave breaking for nonlinear nonlocal shallow water equations
On the Cauchy problem for the periodic Camassa-Holm equation
Global existence for a new periodic integrable equation.
On the Cauchy problem for an integrable equation with peakon solutions
On the blow-up of solutions for the Fornberg-Whitham equation
Discontinuous traveling waves as weak solutions to the Fornberg-Whitham equation
Traveling wave solutions of the Degasperis-Procesi equation
On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
Well-posedness and continuity properties of the Fornberg-Whitham equation in Besov spaces
Solution concepts, well-posedness, and wave breaking for the Fornberg-Whitham equation
Wave breaking to a shallow water wave equation involving the Fornberg-Whitham model
On the wave length of smooth periodic traveling waves of the Camassa-Holm equation
Blow-up phenomenon for the integrable Degasperis-Procesi equation
Global existence and blow-up phenomena for the Degasperis-Procesi equation
New wave-breaking criteria for the Fornberg-Whitham equation
Wave breaking phenomena for the Fornberg-Whitham equation
Stability of peakons for the Degasperis-Procesi equation
A numerical and theoretical study of certain nonlinear wave phenomena
Variational methods and applications to water waves

This page was built for publication: Sufficient conditions of blowup to a shallow water wave equation