Wave breaking for the Whitham equation with fractional dispersion

Vera Mikyoung Hur, Lizheng Tao

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)2937-2949
Number of pages13
JournalNonlinearity
Volume27
Issue number12
DOIs
StatePublished - Dec 1 2014

Keywords

  • Wave breaking
  • fractional dispersion
  • nonlinear nonlocal
  • the Whitham equation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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