Wave breaking for the Whitham equation with fractional dispersion

DOI10.1088/0951-7715/27/12/2937zbMath1314.35142arXiv1410.1570OpenAlexW2052794537MaRDI QIDQ2936145

Vera Mikyoung Hur, Lizheng Tao

Publication date: 5 January 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.1570

zbMATH Keywords

wave breakingfinite-time blow upslopeWhitham equationfractional dispersionsteep initial data

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Deformation of singularities (58K60) Blow-up in context of PDEs (35B44)

Related Items (11)

The Wave Breaking for Whitham-Type Equations Revisited ⋮ Highest cusped waves for the Burgers-Hilbert equation ⋮ Wave Breaking in a Shallow Water Model ⋮ On the finite time singularities for a class of Degasperis-Procesi equations ⋮ Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity ⋮ Wave breaking in the Whitham equation ⋮ Enhanced Existence Time of Solutions to the Fractional Korteweg--de Vries Equation ⋮ On persistence properties in weighted spaces for solutions of the fractional Korteweg–de Vries equation ⋮ Periodic Hölder waves in a class of negative-order dispersive equations ⋮ On the modified fractional Korteweg–de Vries and related equations ⋮ A numerical approach to blow-up issues for dispersive perturbations of Burgers' equation

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