Wave breaking for the Whitham equation with fractional dispersion

Abstract

We show wave breaking for the Whitham equation in a range of fractional dispersion, i.e. the solution remains bounded but its slope becomes unbounded in finite time, provided that the initial datum is sufficiently steep.

References in corpus (2)

• A numerical approach to Blow-up issues for dispersive perturbations of Burgers' equation
• Singularity Formation in a Surface Wave Model

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