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The Breaking Celerity Index (BCI) is proposed as a new wave breaking criterion for Boussinesq-type equations wave propagation models (BTE).
The new bond breaking criterion that we employ replaces the ad-hoc approach inherent in bond-stretch-based or bond-energy-based conditions.
In their academic paper "Breaking Criterion and Characteristics for Solitary Waves on Slopes," Grilli, Svendsen and Subramanya attempt to figure out when and how a wave would break in the ocean as it approaches the shore.
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Similarly, more effective CT saturation criterions and VT breaking criterions are proposed based on integrated information analysis.
Moreover, wave breaking criteria for a large class of initial data have been established in [18, 20 22].
The previous empirical formulas for the wave breaking criteria were also examined, and the modified equations to the steep beaches were proposed in this work.
The second solution is also shown to produce a mechanism which may easily result in localized violations of wave breaking criteria.
The nature of the latter and the relations between it and the symmetry breaking criteria are found to go through a prominent qualitative change as the initial distance between the beam and the electrode, characterizing the electrostatic force, changes.
The following wave-breaking criterion shows the wave breaking is only determined by the slope of ρ but not the slope of u.
Comparing with the modified two-component Camasssa-Holm equation [23], we investigate the local well-posedness, global existence, and a wave-breaking criterion in the Sobolev space.
A wave-breaking criterion for strong solutions is determined in the lowest Sobolev space Hs, s>32 by using the localization analysis in the transport equation theory.
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